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Finding the Fourth Proportional to 23,693.12, 35,502.24 and 15,358.40

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Solution

The fourth proportional to 23,693.12, 35,502.24 and 15,358.40 is: 23,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.12 : 35,502.24 = 15,358.40 : x
  2. Step 2: Convert to fraction form
    23,693.12/35,502.24 = 15,358.40/x
  3. Step 3: Cross multiply
    23,693.12x = 35,502.24 × 15,358.40
  4. Step 4: Simplify right side
    23,693.12x = 545,257,602.82
  5. Step 5: Solve for x
    x = 545,257,602.82/23,693.12
  6. Step 6: Final answer
    x = 23,013.33

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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.