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Finding the Fourth Proportional to 15,830.92, 23,737.60 and 6,477.50

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Solution

The fourth proportional to 15,830.92, 23,737.60 and 6,477.50 is: 9,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.92 : 23,737.60 = 6,477.50 : x
  2. Step 2: Convert to fraction form
    15,830.92/23,737.60 = 6,477.50/x
  3. Step 3: Cross multiply
    15,830.92x = 23,737.60 × 6,477.50
  4. Step 4: Simplify right side
    15,830.92x = 153,760,304
  5. Step 5: Solve for x
    x = 153,760,304/15,830.92
  6. Step 6: Final answer
    x = 9,712.66

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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.