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Finding the Fourth Proportional to 24,784.01, 37,163.25 and 9,988.95

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Solution

The fourth proportional to 24,784.01, 37,163.25 and 9,988.95 is: 14,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.01 : 37,163.25 = 9,988.95 : x
  2. Step 2: Convert to fraction form
    24,784.01/37,163.25 = 9,988.95/x
  3. Step 3: Cross multiply
    24,784.01x = 37,163.25 × 9,988.95
  4. Step 4: Simplify right side
    24,784.01x = 371,221,796.14
  5. Step 5: Solve for x
    x = 371,221,796.14/24,784.01
  6. Step 6: Final answer
    x = 14,978.28

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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.