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Finding the Fourth Proportional to 20,970.72, 31,457.82 and 9,124.90

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Solution

The fourth proportional to 20,970.72, 31,457.82 and 9,124.90 is: 13,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.72 : 31,457.82 = 9,124.90 : x
  2. Step 2: Convert to fraction form
    20,970.72/31,457.82 = 9,124.90/x
  3. Step 3: Cross multiply
    20,970.72x = 31,457.82 × 9,124.90
  4. Step 4: Simplify right side
    20,970.72x = 287,049,417.29
  5. Step 5: Solve for x
    x = 287,049,417.29/20,970.72
  6. Step 6: Final answer
    x = 13,688.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.