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Finding the Fourth Proportional to 22,870.20, 34,307.82 and 7,284.24

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Solution

The fourth proportional to 22,870.20, 34,307.82 and 7,284.24 is: 10,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.20 : 34,307.82 = 7,284.24 : x
  2. Step 2: Convert to fraction form
    22,870.20/34,307.82 = 7,284.24/x
  3. Step 3: Cross multiply
    22,870.20x = 34,307.82 × 7,284.24
  4. Step 4: Simplify right side
    22,870.20x = 249,906,394.76
  5. Step 5: Solve for x
    x = 249,906,394.76/22,870.20
  6. Step 6: Final answer
    x = 10,927.16

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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.