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Finding the Fourth Proportional to 23,438.16, 35,210.16 and 13,601.52

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Solution

The fourth proportional to 23,438.16, 35,210.16 and 13,601.52 is: 20,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.16 : 35,210.16 = 13,601.52 : x
  2. Step 2: Convert to fraction form
    23,438.16/35,210.16 = 13,601.52/x
  3. Step 3: Cross multiply
    23,438.16x = 35,210.16 × 13,601.52
  4. Step 4: Simplify right side
    23,438.16x = 478,911,695.44
  5. Step 5: Solve for x
    x = 478,911,695.44/23,438.16
  6. Step 6: Final answer
    x = 20,432.99

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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.