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Finding the Fourth Proportional to 14,565.96, 21,845.68 and 5,681.50

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Solution

The fourth proportional to 14,565.96, 21,845.68 and 5,681.50 is: 8,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.96 : 21,845.68 = 5,681.50 : x
  2. Step 2: Convert to fraction form
    14,565.96/21,845.68 = 5,681.50/x
  3. Step 3: Cross multiply
    14,565.96x = 21,845.68 × 5,681.50
  4. Step 4: Simplify right side
    14,565.96x = 124,116,230.92
  5. Step 5: Solve for x
    x = 124,116,230.92/14,565.96
  6. Step 6: Final answer
    x = 8,520.98

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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.