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Finding the Fourth Proportional to 15,842.13, 21,860.22 and 9,129.93

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Solution

The fourth proportional to 15,842.13, 21,860.22 and 9,129.93 is: 12,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.13 : 21,860.22 = 9,129.93 : x
  2. Step 2: Convert to fraction form
    15,842.13/21,860.22 = 9,129.93/x
  3. Step 3: Cross multiply
    15,842.13x = 21,860.22 × 9,129.93
  4. Step 4: Simplify right side
    15,842.13x = 199,582,278.38
  5. Step 5: Solve for x
    x = 199,582,278.38/15,842.13
  6. Step 6: Final answer
    x = 12,598.20

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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.