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Finding the Fourth Proportional to 14,565.90, 21,847.41 and 5,798.46

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Solution

The fourth proportional to 14,565.90, 21,847.41 and 5,798.46 is: 8,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.90 : 21,847.41 = 5,798.46 : x
  2. Step 2: Convert to fraction form
    14,565.90/21,847.41 = 5,798.46/x
  3. Step 3: Cross multiply
    14,565.90x = 21,847.41 × 5,798.46
  4. Step 4: Simplify right side
    14,565.90x = 126,681,332.99
  5. Step 5: Solve for x
    x = 126,681,332.99/14,565.90
  6. Step 6: Final answer
    x = 8,697.12

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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.