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Finding the Fourth Proportional to 24,560.16, 33,897.44 and 14,488

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Solution

The fourth proportional to 24,560.16, 33,897.44 and 14,488 is: 19,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,560.16 : 33,897.44 = 14,488 : x
  2. Step 2: Convert to fraction form
    24,560.16/33,897.44 = 14,488/x
  3. Step 3: Cross multiply
    24,560.16x = 33,897.44 × 14,488
  4. Step 4: Simplify right side
    24,560.16x = 491,106,110.72
  5. Step 5: Solve for x
    x = 491,106,110.72/24,560.16
  6. Step 6: Final answer
    x = 19,996.05

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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.