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Finding the Fourth Proportional to 24,277.98, 33,486.80 and 14,851.20

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Solution

The fourth proportional to 24,277.98, 33,486.80 and 14,851.20 is: 20,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.98 : 33,486.80 = 14,851.20 : x
  2. Step 2: Convert to fraction form
    24,277.98/33,486.80 = 14,851.20/x
  3. Step 3: Cross multiply
    24,277.98x = 33,486.80 × 14,851.20
  4. Step 4: Simplify right side
    24,277.98x = 497,319,164.16
  5. Step 5: Solve for x
    x = 497,319,164.16/24,277.98
  6. Step 6: Final answer
    x = 20,484.37

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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.