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Finding the Fourth Proportional to 15,975.60, 22,044.63 and 9,842.34

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Solution

The fourth proportional to 15,975.60, 22,044.63 and 9,842.34 is: 13,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.60 : 22,044.63 = 9,842.34 : x
  2. Step 2: Convert to fraction form
    15,975.60/22,044.63 = 9,842.34/x
  3. Step 3: Cross multiply
    15,975.60x = 22,044.63 × 9,842.34
  4. Step 4: Simplify right side
    15,975.60x = 216,970,743.63
  5. Step 5: Solve for x
    x = 216,970,743.63/15,975.60
  6. Step 6: Final answer
    x = 13,581.38

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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.