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Finding the Fourth Proportional to 15,689.84, 23,547.72 and 6,462.32

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Solution

The fourth proportional to 15,689.84, 23,547.72 and 6,462.32 is: 9,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.84 : 23,547.72 = 6,462.32 : x
  2. Step 2: Convert to fraction form
    15,689.84/23,547.72 = 6,462.32/x
  3. Step 3: Cross multiply
    15,689.84x = 23,547.72 × 6,462.32
  4. Step 4: Simplify right side
    15,689.84x = 152,172,901.91
  5. Step 5: Solve for x
    x = 152,172,901.91/15,689.84
  6. Step 6: Final answer
    x = 9,698.82

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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.