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Finding the Fourth Proportional to 23,248.30, 32,082.52 and 13,178.64

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Solution

The fourth proportional to 23,248.30, 32,082.52 and 13,178.64 is: 18,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,248.30 : 32,082.52 = 13,178.64 : x
  2. Step 2: Convert to fraction form
    23,248.30/32,082.52 = 13,178.64/x
  3. Step 3: Cross multiply
    23,248.30x = 32,082.52 × 13,178.64
  4. Step 4: Simplify right side
    23,248.30x = 422,803,981.37
  5. Step 5: Solve for x
    x = 422,803,981.37/23,248.30
  6. Step 6: Final answer
    x = 18,186.45

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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.