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Finding the Fourth Proportional to 24,172.64, 36,269.35 and 11,702.01

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Solution

The fourth proportional to 24,172.64, 36,269.35 and 11,702.01 is: 17,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172.64 : 36,269.35 = 11,702.01 : x
  2. Step 2: Convert to fraction form
    24,172.64/36,269.35 = 11,702.01/x
  3. Step 3: Cross multiply
    24,172.64x = 36,269.35 × 11,702.01
  4. Step 4: Simplify right side
    24,172.64x = 424,424,267.14
  5. Step 5: Solve for x
    x = 424,424,267.14/24,172.64
  6. Step 6: Final answer
    x = 17,558.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.