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Finding the Fourth Proportional to 22,656.96, 31,264.30 and 13,230.98

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Solution

The fourth proportional to 22,656.96, 31,264.30 and 13,230.98 is: 18,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.96 : 31,264.30 = 13,230.98 : x
  2. Step 2: Convert to fraction form
    22,656.96/31,264.30 = 13,230.98/x
  3. Step 3: Cross multiply
    22,656.96x = 31,264.30 × 13,230.98
  4. Step 4: Simplify right side
    22,656.96x = 413,657,328.01
  5. Step 5: Solve for x
    x = 413,657,328.01/22,656.96
  6. Step 6: Final answer
    x = 18,257.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.