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Finding the Fourth Proportional to 14,702.34, 22,060.80 and 7,306.50

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Solution

The fourth proportional to 14,702.34, 22,060.80 and 7,306.50 is: 10,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.34 : 22,060.80 = 7,306.50 : x
  2. Step 2: Convert to fraction form
    14,702.34/22,060.80 = 7,306.50/x
  3. Step 3: Cross multiply
    14,702.34x = 22,060.80 × 7,306.50
  4. Step 4: Simplify right side
    14,702.34x = 161,187,235.20
  5. Step 5: Solve for x
    x = 161,187,235.20/14,702.34
  6. Step 6: Final answer
    x = 10,963.37

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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.