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Finding the Fourth Proportional to 15,221.77, 21,005.91 and 8,416.25

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Solution

The fourth proportional to 15,221.77, 21,005.91 and 8,416.25 is: 11,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.77 : 21,005.91 = 8,416.25 : x
  2. Step 2: Convert to fraction form
    15,221.77/21,005.91 = 8,416.25/x
  3. Step 3: Cross multiply
    15,221.77x = 21,005.91 × 8,416.25
  4. Step 4: Simplify right side
    15,221.77x = 176,791,058.27
  5. Step 5: Solve for x
    x = 176,791,058.27/15,221.77
  6. Step 6: Final answer
    x = 11,614.35

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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.