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Finding the Fourth Proportional to 24,506.65, 36,701.66 and 14,096.53

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Solution

The fourth proportional to 24,506.65, 36,701.66 and 14,096.53 is: 21,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.65 : 36,701.66 = 14,096.53 : x
  2. Step 2: Convert to fraction form
    24,506.65/36,701.66 = 14,096.53/x
  3. Step 3: Cross multiply
    24,506.65x = 36,701.66 × 14,096.53
  4. Step 4: Simplify right side
    24,506.65x = 517,366,053.07
  5. Step 5: Solve for x
    x = 517,366,053.07/24,506.65
  6. Step 6: Final answer
    x = 21,111.25

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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.