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Finding the Fourth Proportional to 14,562.08, 20,097.96 and 9,259.28

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Solution

The fourth proportional to 14,562.08, 20,097.96 and 9,259.28 is: 12,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.08 : 20,097.96 = 9,259.28 : x
  2. Step 2: Convert to fraction form
    14,562.08/20,097.96 = 9,259.28/x
  3. Step 3: Cross multiply
    14,562.08x = 20,097.96 × 9,259.28
  4. Step 4: Simplify right side
    14,562.08x = 186,092,639.07
  5. Step 5: Solve for x
    x = 186,092,639.07/14,562.08
  6. Step 6: Final answer
    x = 12,779.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.