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Finding the Fourth Proportional to 13,402.50, 18,492.71 and 7,432.89

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Solution

The fourth proportional to 13,402.50, 18,492.71 and 7,432.89 is: 10,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.50 : 18,492.71 = 7,432.89 : x
  2. Step 2: Convert to fraction form
    13,402.50/18,492.71 = 7,432.89/x
  3. Step 3: Cross multiply
    13,402.50x = 18,492.71 × 7,432.89
  4. Step 4: Simplify right side
    13,402.50x = 137,454,242.07
  5. Step 5: Solve for x
    x = 137,454,242.07/13,402.50
  6. Step 6: Final answer
    x = 10,255.87

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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.