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Finding the Fourth Proportional to 15,684.52, 23,521.79 and 5,152.10

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Solution

The fourth proportional to 15,684.52, 23,521.79 and 5,152.10 is: 7,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.52 : 23,521.79 = 5,152.10 : x
  2. Step 2: Convert to fraction form
    15,684.52/23,521.79 = 5,152.10/x
  3. Step 3: Cross multiply
    15,684.52x = 23,521.79 × 5,152.10
  4. Step 4: Simplify right side
    15,684.52x = 121,186,608.16
  5. Step 5: Solve for x
    x = 121,186,608.16/15,684.52
  6. Step 6: Final answer
    x = 7,726.51

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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.