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Finding the Fourth Proportional to 24,506.40, 33,802.88 and 14,426.34

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Solution

The fourth proportional to 24,506.40, 33,802.88 and 14,426.34 is: 19,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.40 : 33,802.88 = 14,426.34 : x
  2. Step 2: Convert to fraction form
    24,506.40/33,802.88 = 14,426.34/x
  3. Step 3: Cross multiply
    24,506.40x = 33,802.88 × 14,426.34
  4. Step 4: Simplify right side
    24,506.40x = 487,651,839.86
  5. Step 5: Solve for x
    x = 487,651,839.86/24,506.40
  6. Step 6: Final answer
    x = 19,898.96

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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.