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Finding the Fourth Proportional to 17,656.38, 24,365.80 and 9,698.74

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Solution

The fourth proportional to 17,656.38, 24,365.80 and 9,698.74 is: 13,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.38 : 24,365.80 = 9,698.74 : x
  2. Step 2: Convert to fraction form
    17,656.38/24,365.80 = 9,698.74/x
  3. Step 3: Cross multiply
    17,656.38x = 24,365.80 × 9,698.74
  4. Step 4: Simplify right side
    17,656.38x = 236,317,437.26
  5. Step 5: Solve for x
    x = 236,317,437.26/17,656.38
  6. Step 6: Final answer
    x = 13,384.26

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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.