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Finding the Fourth Proportional to 23,345.96, 34,978.56 and 15,733.04

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Solution

The fourth proportional to 23,345.96, 34,978.56 and 15,733.04 is: 23,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,345.96 : 34,978.56 = 15,733.04 : x
  2. Step 2: Convert to fraction form
    23,345.96/34,978.56 = 15,733.04/x
  3. Step 3: Cross multiply
    23,345.96x = 34,978.56 × 15,733.04
  4. Step 4: Simplify right side
    23,345.96x = 550,319,083.62
  5. Step 5: Solve for x
    x = 550,319,083.62/23,345.96
  6. Step 6: Final answer
    x = 23,572.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.