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Finding the Fourth Proportional to 24,699.84, 37,041.12 and 15,406.08

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Solution

The fourth proportional to 24,699.84, 37,041.12 and 15,406.08 is: 23,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699.84 : 37,041.12 = 15,406.08 : x
  2. Step 2: Convert to fraction form
    24,699.84/37,041.12 = 15,406.08/x
  3. Step 3: Cross multiply
    24,699.84x = 37,041.12 × 15,406.08
  4. Step 4: Simplify right side
    24,699.84x = 570,658,458.01
  5. Step 5: Solve for x
    x = 570,658,458.01/24,699.84
  6. Step 6: Final answer
    x = 23,103.73

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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.