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Finding the Fourth Proportional to 15,829.91, 21,848.90 and 9,119.42

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Solution

The fourth proportional to 15,829.91, 21,848.90 and 9,119.42 is: 12,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.91 : 21,848.90 = 9,119.42 : x
  2. Step 2: Convert to fraction form
    15,829.91/21,848.90 = 9,119.42/x
  3. Step 3: Cross multiply
    15,829.91x = 21,848.90 × 9,119.42
  4. Step 4: Simplify right side
    15,829.91x = 199,249,295.64
  5. Step 5: Solve for x
    x = 199,249,295.64/15,829.91
  6. Step 6: Final answer
    x = 12,586.89

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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.