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Finding the Fourth Proportional to 15,590.61, 23,393.82 and 7,798.81

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Solution

The fourth proportional to 15,590.61, 23,393.82 and 7,798.81 is: 11,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,590.61 : 23,393.82 = 7,798.81 : x
  2. Step 2: Convert to fraction form
    15,590.61/23,393.82 = 7,798.81/x
  3. Step 3: Cross multiply
    15,590.61x = 23,393.82 × 7,798.81
  4. Step 4: Simplify right side
    15,590.61x = 182,443,957.35
  5. Step 5: Solve for x
    x = 182,443,957.35/15,590.61
  6. Step 6: Final answer
    x = 11,702.17

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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.