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Finding the Fourth Proportional to 24,407.58, 33,683.85 and 13,798.14

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Solution

The fourth proportional to 24,407.58, 33,683.85 and 13,798.14 is: 19,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.58 : 33,683.85 = 13,798.14 : x
  2. Step 2: Convert to fraction form
    24,407.58/33,683.85 = 13,798.14/x
  3. Step 3: Cross multiply
    24,407.58x = 33,683.85 × 13,798.14
  4. Step 4: Simplify right side
    24,407.58x = 464,774,478.04
  5. Step 5: Solve for x
    x = 464,774,478.04/24,407.58
  6. Step 6: Final answer
    x = 19,042.22

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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.