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Finding the Fourth Proportional to 16,339.84, 22,547.04 and 9,627.52

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Solution

The fourth proportional to 16,339.84, 22,547.04 and 9,627.52 is: 13,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.84 : 22,547.04 = 9,627.52 : x
  2. Step 2: Convert to fraction form
    16,339.84/22,547.04 = 9,627.52/x
  3. Step 3: Cross multiply
    16,339.84x = 22,547.04 × 9,627.52
  4. Step 4: Simplify right side
    16,339.84x = 217,072,078.54
  5. Step 5: Solve for x
    x = 217,072,078.54/16,339.84
  6. Step 6: Final answer
    x = 13,284.84

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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.