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Finding the Fourth Proportional to 14,337.90, 19,782.84 and 8,366.16

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Solution

The fourth proportional to 14,337.90, 19,782.84 and 8,366.16 is: 11,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.90 : 19,782.84 = 8,366.16 : x
  2. Step 2: Convert to fraction form
    14,337.90/19,782.84 = 8,366.16/x
  3. Step 3: Cross multiply
    14,337.90x = 19,782.84 × 8,366.16
  4. Step 4: Simplify right side
    14,337.90x = 165,506,404.69
  5. Step 5: Solve for x
    x = 165,506,404.69/14,337.90
  6. Step 6: Final answer
    x = 11,543.28

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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.