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Finding the Fourth Proportional to 24,113.96, 36,178.86 and 15,219

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Solution

The fourth proportional to 24,113.96, 36,178.86 and 15,219 is: 22,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.96 : 36,178.86 = 15,219 : x
  2. Step 2: Convert to fraction form
    24,113.96/36,178.86 = 15,219/x
  3. Step 3: Cross multiply
    24,113.96x = 36,178.86 × 15,219
  4. Step 4: Simplify right side
    24,113.96x = 550,606,070.34
  5. Step 5: Solve for x
    x = 550,606,070.34/24,113.96
  6. Step 6: Final answer
    x = 22,833.50

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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.