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Finding the Fourth Proportional to 15,357.79, 21,206.91 and 9,702.37

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Solution

The fourth proportional to 15,357.79, 21,206.91 and 9,702.37 is: 13,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,357.79 : 21,206.91 = 9,702.37 : x
  2. Step 2: Convert to fraction form
    15,357.79/21,206.91 = 9,702.37/x
  3. Step 3: Cross multiply
    15,357.79x = 21,206.91 × 9,702.37
  4. Step 4: Simplify right side
    15,357.79x = 205,757,287.38
  5. Step 5: Solve for x
    x = 205,757,287.38/15,357.79
  6. Step 6: Final answer
    x = 13,397.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.