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Finding the Fourth Proportional to 14,567.60, 21,862.20 and 9,635.60

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Solution

The fourth proportional to 14,567.60, 21,862.20 and 9,635.60 is: 14,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.60 : 21,862.20 = 9,635.60 : x
  2. Step 2: Convert to fraction form
    14,567.60/21,862.20 = 9,635.60/x
  3. Step 3: Cross multiply
    14,567.60x = 21,862.20 × 9,635.60
  4. Step 4: Simplify right side
    14,567.60x = 210,655,414.32
  5. Step 5: Solve for x
    x = 210,655,414.32/14,567.60
  6. Step 6: Final answer
    x = 14,460.54

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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.