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Finding the Fourth Proportional to 23,482.95, 32,406.30 and 12,872.40

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Solution

The fourth proportional to 23,482.95, 32,406.30 and 12,872.40 is: 17,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482.95 : 32,406.30 = 12,872.40 : x
  2. Step 2: Convert to fraction form
    23,482.95/32,406.30 = 12,872.40/x
  3. Step 3: Cross multiply
    23,482.95x = 32,406.30 × 12,872.40
  4. Step 4: Simplify right side
    23,482.95x = 417,146,856.12
  5. Step 5: Solve for x
    x = 417,146,856.12/23,482.95
  6. Step 6: Final answer
    x = 17,763.82

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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.