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Finding the Fourth Proportional to 15,530.91, 21,432.68 and 8,457.36

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Solution

The fourth proportional to 15,530.91, 21,432.68 and 8,457.36 is: 11,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.91 : 21,432.68 = 8,457.36 : x
  2. Step 2: Convert to fraction form
    15,530.91/21,432.68 = 8,457.36/x
  3. Step 3: Cross multiply
    15,530.91x = 21,432.68 × 8,457.36
  4. Step 4: Simplify right side
    15,530.91x = 181,263,890.52
  5. Step 5: Solve for x
    x = 181,263,890.52/15,530.91
  6. Step 6: Final answer
    x = 11,671.17

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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.