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Finding the Fourth Proportional to 15,929.50, 23,897.28 and 7,610.18

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Solution

The fourth proportional to 15,929.50, 23,897.28 and 7,610.18 is: 11,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.50 : 23,897.28 = 7,610.18 : x
  2. Step 2: Convert to fraction form
    15,929.50/23,897.28 = 7,610.18/x
  3. Step 3: Cross multiply
    15,929.50x = 23,897.28 × 7,610.18
  4. Step 4: Simplify right side
    15,929.50x = 181,862,602.31
  5. Step 5: Solve for x
    x = 181,862,602.31/15,929.50
  6. Step 6: Final answer
    x = 11,416.72

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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.