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Finding the Fourth Proportional to 15,659.64, 23,492.76 and 5,799

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Solution

The fourth proportional to 15,659.64, 23,492.76 and 5,799 is: 8,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,659.64 : 23,492.76 = 5,799 : x
  2. Step 2: Convert to fraction form
    15,659.64/23,492.76 = 5,799/x
  3. Step 3: Cross multiply
    15,659.64x = 23,492.76 × 5,799
  4. Step 4: Simplify right side
    15,659.64x = 136,234,515.24
  5. Step 5: Solve for x
    x = 136,234,515.24/15,659.64
  6. Step 6: Final answer
    x = 8,699.72

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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.