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Finding the Fourth Proportional to 15,867.64, 23,800.50 and 4,180.84

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Solution

The fourth proportional to 15,867.64, 23,800.50 and 4,180.84 is: 6,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867.64 : 23,800.50 = 4,180.84 : x
  2. Step 2: Convert to fraction form
    15,867.64/23,800.50 = 4,180.84/x
  3. Step 3: Cross multiply
    15,867.64x = 23,800.50 × 4,180.84
  4. Step 4: Simplify right side
    15,867.64x = 99,506,082.42
  5. Step 5: Solve for x
    x = 99,506,082.42/15,867.64
  6. Step 6: Final answer
    x = 6,271.01

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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.