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Finding the Fourth Proportional to 24,492.76, 36,733.38 and 12,177.88

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Solution

The fourth proportional to 24,492.76, 36,733.38 and 12,177.88 is: 18,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.76 : 36,733.38 = 12,177.88 : x
  2. Step 2: Convert to fraction form
    24,492.76/36,733.38 = 12,177.88/x
  3. Step 3: Cross multiply
    24,492.76x = 36,733.38 × 12,177.88
  4. Step 4: Simplify right side
    24,492.76x = 447,334,693.63
  5. Step 5: Solve for x
    x = 447,334,693.63/24,492.76
  6. Step 6: Final answer
    x = 18,263.96

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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.