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Finding the Fourth Proportional to 24,074.40, 33,222.05 and 13,319

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Solution

The fourth proportional to 24,074.40, 33,222.05 and 13,319 is: 18,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.40 : 33,222.05 = 13,319 : x
  2. Step 2: Convert to fraction form
    24,074.40/33,222.05 = 13,319/x
  3. Step 3: Cross multiply
    24,074.40x = 33,222.05 × 13,319
  4. Step 4: Simplify right side
    24,074.40x = 442,484,483.95
  5. Step 5: Solve for x
    x = 442,484,483.95/24,074.40
  6. Step 6: Final answer
    x = 18,379.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.