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Finding the Fourth Proportional to 23,095.52, 34,646.92 and 7,509.50

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Solution

The fourth proportional to 23,095.52, 34,646.92 and 7,509.50 is: 11,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.52 : 34,646.92 = 7,509.50 : x
  2. Step 2: Convert to fraction form
    23,095.52/34,646.92 = 7,509.50/x
  3. Step 3: Cross multiply
    23,095.52x = 34,646.92 × 7,509.50
  4. Step 4: Simplify right side
    23,095.52x = 260,181,045.74
  5. Step 5: Solve for x
    x = 260,181,045.74/23,095.52
  6. Step 6: Final answer
    x = 11,265.43

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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.