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Finding the Fourth Proportional to 25,457.80, 38,192.10 and 7,689.10

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Solution

The fourth proportional to 25,457.80, 38,192.10 and 7,689.10 is: 11,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457.80 : 38,192.10 = 7,689.10 : x
  2. Step 2: Convert to fraction form
    25,457.80/38,192.10 = 7,689.10/x
  3. Step 3: Cross multiply
    25,457.80x = 38,192.10 × 7,689.10
  4. Step 4: Simplify right side
    25,457.80x = 293,662,876.11
  5. Step 5: Solve for x
    x = 293,662,876.11/25,457.80
  6. Step 6: Final answer
    x = 11,535.28

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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.