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Finding the Fourth Proportional to 15,135.64, 22,703.42 and 7,214.14

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Solution

The fourth proportional to 15,135.64, 22,703.42 and 7,214.14 is: 10,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.64 : 22,703.42 = 7,214.14 : x
  2. Step 2: Convert to fraction form
    15,135.64/22,703.42 = 7,214.14/x
  3. Step 3: Cross multiply
    15,135.64x = 22,703.42 × 7,214.14
  4. Step 4: Simplify right side
    15,135.64x = 163,785,650.36
  5. Step 5: Solve for x
    x = 163,785,650.36/15,135.64
  6. Step 6: Final answer
    x = 10,821.19

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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.