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Finding the Fourth Proportional to 22,378.47, 33,567.71 and 10,656.15

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Solution

The fourth proportional to 22,378.47, 33,567.71 and 10,656.15 is: 15,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.47 : 33,567.71 = 10,656.15 : x
  2. Step 2: Convert to fraction form
    22,378.47/33,567.71 = 10,656.15/x
  3. Step 3: Cross multiply
    22,378.47x = 33,567.71 × 10,656.15
  4. Step 4: Simplify right side
    22,378.47x = 357,702,499.64
  5. Step 5: Solve for x
    x = 357,702,499.64/22,378.47
  6. Step 6: Final answer
    x = 15,984.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.