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Finding the Fourth Proportional to 15,214.68, 22,810.28 and 9,656.46

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Solution

The fourth proportional to 15,214.68, 22,810.28 and 9,656.46 is: 14,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.68 : 22,810.28 = 9,656.46 : x
  2. Step 2: Convert to fraction form
    15,214.68/22,810.28 = 9,656.46/x
  3. Step 3: Cross multiply
    15,214.68x = 22,810.28 × 9,656.46
  4. Step 4: Simplify right side
    15,214.68x = 220,266,508.13
  5. Step 5: Solve for x
    x = 220,266,508.13/15,214.68
  6. Step 6: Final answer
    x = 14,477.24

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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.