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Finding the Fourth Proportional to 15,838.98, 23,758.50 and 5,307.06

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Solution

The fourth proportional to 15,838.98, 23,758.50 and 5,307.06 is: 7,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.98 : 23,758.50 = 5,307.06 : x
  2. Step 2: Convert to fraction form
    15,838.98/23,758.50 = 5,307.06/x
  3. Step 3: Cross multiply
    15,838.98x = 23,758.50 × 5,307.06
  4. Step 4: Simplify right side
    15,838.98x = 126,087,785.01
  5. Step 5: Solve for x
    x = 126,087,785.01/15,838.98
  6. Step 6: Final answer
    x = 7,960.60

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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.