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Finding the Fourth Proportional to 14,603.88, 21,909.28 and 4,743.16

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Solution

The fourth proportional to 14,603.88, 21,909.28 and 4,743.16 is: 7,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.88 : 21,909.28 = 4,743.16 : x
  2. Step 2: Convert to fraction form
    14,603.88/21,909.28 = 4,743.16/x
  3. Step 3: Cross multiply
    14,603.88x = 21,909.28 × 4,743.16
  4. Step 4: Simplify right side
    14,603.88x = 103,919,220.52
  5. Step 5: Solve for x
    x = 103,919,220.52/14,603.88
  6. Step 6: Final answer
    x = 7,115.86

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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.