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Finding the Fourth Proportional to 15,710.34, 23,561.82 and 4,614.06

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Solution

The fourth proportional to 15,710.34, 23,561.82 and 4,614.06 is: 6,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.34 : 23,561.82 = 4,614.06 : x
  2. Step 2: Convert to fraction form
    15,710.34/23,561.82 = 4,614.06/x
  3. Step 3: Cross multiply
    15,710.34x = 23,561.82 × 4,614.06
  4. Step 4: Simplify right side
    15,710.34x = 108,715,651.19
  5. Step 5: Solve for x
    x = 108,715,651.19/15,710.34
  6. Step 6: Final answer
    x = 6,920.01

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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.