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Finding the Fourth Proportional to 24,137.51, 33,309.71 and 14,706.08

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Solution

The fourth proportional to 24,137.51, 33,309.71 and 14,706.08 is: 20,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.51 : 33,309.71 = 14,706.08 : x
  2. Step 2: Convert to fraction form
    24,137.51/33,309.71 = 14,706.08/x
  3. Step 3: Cross multiply
    24,137.51x = 33,309.71 × 14,706.08
  4. Step 4: Simplify right side
    24,137.51x = 489,855,019.96
  5. Step 5: Solve for x
    x = 489,855,019.96/24,137.51
  6. Step 6: Final answer
    x = 20,294.35

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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.