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Finding the Fourth Proportional to 18,497.52, 27,746.28 and 4,646.64

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Solution

The fourth proportional to 18,497.52, 27,746.28 and 4,646.64 is: 6,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.52 : 27,746.28 = 4,646.64 : x
  2. Step 2: Convert to fraction form
    18,497.52/27,746.28 = 4,646.64/x
  3. Step 3: Cross multiply
    18,497.52x = 27,746.28 × 4,646.64
  4. Step 4: Simplify right side
    18,497.52x = 128,926,974.50
  5. Step 5: Solve for x
    x = 128,926,974.50/18,497.52
  6. Step 6: Final answer
    x = 6,969.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.