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Finding the Fourth Proportional to 23,830.08, 32,880.72 and 14,399.16

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Solution

The fourth proportional to 23,830.08, 32,880.72 and 14,399.16 is: 19,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.08 : 32,880.72 = 14,399.16 : x
  2. Step 2: Convert to fraction form
    23,830.08/32,880.72 = 14,399.16/x
  3. Step 3: Cross multiply
    23,830.08x = 32,880.72 × 14,399.16
  4. Step 4: Simplify right side
    23,830.08x = 473,454,748.20
  5. Step 5: Solve for x
    x = 473,454,748.20/23,830.08
  6. Step 6: Final answer
    x = 19,867.95

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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.