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Finding the Fourth Proportional to 13,411.64, 18,507.84 and 7,746.32

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Solution

The fourth proportional to 13,411.64, 18,507.84 and 7,746.32 is: 10,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.64 : 18,507.84 = 7,746.32 : x
  2. Step 2: Convert to fraction form
    13,411.64/18,507.84 = 7,746.32/x
  3. Step 3: Cross multiply
    13,411.64x = 18,507.84 × 7,746.32
  4. Step 4: Simplify right side
    13,411.64x = 143,367,651.15
  5. Step 5: Solve for x
    x = 143,367,651.15/13,411.64
  6. Step 6: Final answer
    x = 10,689.79

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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.