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Finding the Fourth Proportional to 15,656.64, 23,488.26 and 5,796

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Solution

The fourth proportional to 15,656.64, 23,488.26 and 5,796 is: 8,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,656.64 : 23,488.26 = 5,796 : x
  2. Step 2: Convert to fraction form
    15,656.64/23,488.26 = 5,796/x
  3. Step 3: Cross multiply
    15,656.64x = 23,488.26 × 5,796
  4. Step 4: Simplify right side
    15,656.64x = 136,137,954.96
  5. Step 5: Solve for x
    x = 136,137,954.96/15,656.64
  6. Step 6: Final answer
    x = 8,695.22

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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.