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Finding the Fourth Proportional to 22,656.37, 31,264.77 and 12,585.50

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Solution

The fourth proportional to 22,656.37, 31,264.77 and 12,585.50 is: 17,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.37 : 31,264.77 = 12,585.50 : x
  2. Step 2: Convert to fraction form
    22,656.37/31,264.77 = 12,585.50/x
  3. Step 3: Cross multiply
    22,656.37x = 31,264.77 × 12,585.50
  4. Step 4: Simplify right side
    22,656.37x = 393,482,888.19
  5. Step 5: Solve for x
    x = 393,482,888.19/22,656.37
  6. Step 6: Final answer
    x = 17,367.43

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