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Finding the Fourth Proportional to 23,689.94, 35,547.24 and 9,660.32

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Solution

The fourth proportional to 23,689.94, 35,547.24 and 9,660.32 is: 14,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.94 : 35,547.24 = 9,660.32 : x
  2. Step 2: Convert to fraction form
    23,689.94/35,547.24 = 9,660.32/x
  3. Step 3: Cross multiply
    23,689.94x = 35,547.24 × 9,660.32
  4. Step 4: Simplify right side
    23,689.94x = 343,397,713.52
  5. Step 5: Solve for x
    x = 343,397,713.52/23,689.94
  6. Step 6: Final answer
    x = 14,495.51

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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.