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Finding the Fourth Proportional to 14,575.20, 21,862.80 and 9,909.60

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Solution

The fourth proportional to 14,575.20, 21,862.80 and 9,909.60 is: 14,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.20 : 21,862.80 = 9,909.60 : x
  2. Step 2: Convert to fraction form
    14,575.20/21,862.80 = 9,909.60/x
  3. Step 3: Cross multiply
    14,575.20x = 21,862.80 × 9,909.60
  4. Step 4: Simplify right side
    14,575.20x = 216,651,602.88
  5. Step 5: Solve for x
    x = 216,651,602.88/14,575.20
  6. Step 6: Final answer
    x = 14,864.40

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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.