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Finding the Fourth Proportional to 15,206.47, 22,810.14 and 7,307.75

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Solution

The fourth proportional to 15,206.47, 22,810.14 and 7,307.75 is: 10,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.47 : 22,810.14 = 7,307.75 : x
  2. Step 2: Convert to fraction form
    15,206.47/22,810.14 = 7,307.75/x
  3. Step 3: Cross multiply
    15,206.47x = 22,810.14 × 7,307.75
  4. Step 4: Simplify right side
    15,206.47x = 166,690,857.61
  5. Step 5: Solve for x
    x = 166,690,857.61/15,206.47
  6. Step 6: Final answer
    x = 10,961.84

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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.