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Finding the Fourth Proportional to 22,473.93, 31,014.12 and 12,402.67

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Solution

The fourth proportional to 22,473.93, 31,014.12 and 12,402.67 is: 17,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.93 : 31,014.12 = 12,402.67 : x
  2. Step 2: Convert to fraction form
    22,473.93/31,014.12 = 12,402.67/x
  3. Step 3: Cross multiply
    22,473.93x = 31,014.12 × 12,402.67
  4. Step 4: Simplify right side
    22,473.93x = 384,657,895.70
  5. Step 5: Solve for x
    x = 384,657,895.70/22,473.93
  6. Step 6: Final answer
    x = 17,115.74

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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.