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Finding the Fourth Proportional to 15,503.16, 21,398.70 and 9,535.80

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Solution

The fourth proportional to 15,503.16, 21,398.70 and 9,535.80 is: 13,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.16 : 21,398.70 = 9,535.80 : x
  2. Step 2: Convert to fraction form
    15,503.16/21,398.70 = 9,535.80/x
  3. Step 3: Cross multiply
    15,503.16x = 21,398.70 × 9,535.80
  4. Step 4: Simplify right side
    15,503.16x = 204,053,723.46
  5. Step 5: Solve for x
    x = 204,053,723.46/15,503.16
  6. Step 6: Final answer
    x = 13,162.07

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