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Finding the Fourth Proportional to 15,588, 21,508.02 and 9,920.70

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Solution

The fourth proportional to 15,588, 21,508.02 and 9,920.70 is: 13,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588 : 21,508.02 = 9,920.70 : x
  2. Step 2: Convert to fraction form
    15,588/21,508.02 = 9,920.70/x
  3. Step 3: Cross multiply
    15,588x = 21,508.02 × 9,920.70
  4. Step 4: Simplify right side
    15,588x = 213,374,614.01
  5. Step 5: Solve for x
    x = 213,374,614.01/15,588
  6. Step 6: Final answer
    x = 13,688.39

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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.