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Finding the Fourth Proportional to 22,870.59, 34,307.10 and 7,287

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Solution

The fourth proportional to 22,870.59, 34,307.10 and 7,287 is: 10,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.59 : 34,307.10 = 7,287 : x
  2. Step 2: Convert to fraction form
    22,870.59/34,307.10 = 7,287/x
  3. Step 3: Cross multiply
    22,870.59x = 34,307.10 × 7,287
  4. Step 4: Simplify right side
    22,870.59x = 249,995,837.70
  5. Step 5: Solve for x
    x = 249,995,837.70/22,870.59
  6. Step 6: Final answer
    x = 10,930.89

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Why These Related Problems?

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