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Finding the Fourth Proportional to 23,152.40, 34,715.19 and 20,384.63

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Solution

The fourth proportional to 23,152.40, 34,715.19 and 20,384.63 is: 30,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.40 : 34,715.19 = 20,384.63 : x
  2. Step 2: Convert to fraction form
    23,152.40/34,715.19 = 20,384.63/x
  3. Step 3: Cross multiply
    23,152.40x = 34,715.19 × 20,384.63
  4. Step 4: Simplify right side
    23,152.40x = 707,656,303.53
  5. Step 5: Solve for x
    x = 707,656,303.53/23,152.40
  6. Step 6: Final answer
    x = 30,565.14

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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.