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Finding the Fourth Proportional to 14,931.92, 20,590.80 and 10,454.24

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Solution

The fourth proportional to 14,931.92, 20,590.80 and 10,454.24 is: 14,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.92 : 20,590.80 = 10,454.24 : x
  2. Step 2: Convert to fraction form
    14,931.92/20,590.80 = 10,454.24/x
  3. Step 3: Cross multiply
    14,931.92x = 20,590.80 × 10,454.24
  4. Step 4: Simplify right side
    14,931.92x = 215,261,164.99
  5. Step 5: Solve for x
    x = 215,261,164.99/14,931.92
  6. Step 6: Final answer
    x = 14,416.17

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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.