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Finding the Fourth Proportional to 14,390.61, 21,549.87 and 9,109.68

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Solution

The fourth proportional to 14,390.61, 21,549.87 and 9,109.68 is: 13,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.61 : 21,549.87 = 9,109.68 : x
  2. Step 2: Convert to fraction form
    14,390.61/21,549.87 = 9,109.68/x
  3. Step 3: Cross multiply
    14,390.61x = 21,549.87 × 9,109.68
  4. Step 4: Simplify right side
    14,390.61x = 196,312,419.74
  5. Step 5: Solve for x
    x = 196,312,419.74/14,390.61
  6. Step 6: Final answer
    x = 13,641.70

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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.