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Finding the Fourth Proportional to 15,909.49, 23,856.06 and 8,417.09

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Solution

The fourth proportional to 15,909.49, 23,856.06 and 8,417.09 is: 12,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.49 : 23,856.06 = 8,417.09 : x
  2. Step 2: Convert to fraction form
    15,909.49/23,856.06 = 8,417.09/x
  3. Step 3: Cross multiply
    15,909.49x = 23,856.06 × 8,417.09
  4. Step 4: Simplify right side
    15,909.49x = 200,798,663.71
  5. Step 5: Solve for x
    x = 200,798,663.71/15,909.49
  6. Step 6: Final answer
    x = 12,621.32

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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.