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Finding the Fourth Proportional to 18,582, 25,643.10 and 10,624.38

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Solution

The fourth proportional to 18,582, 25,643.10 and 10,624.38 is: 14,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582 : 25,643.10 = 10,624.38 : x
  2. Step 2: Convert to fraction form
    18,582/25,643.10 = 10,624.38/x
  3. Step 3: Cross multiply
    18,582x = 25,643.10 × 10,624.38
  4. Step 4: Simplify right side
    18,582x = 272,442,038.78
  5. Step 5: Solve for x
    x = 272,442,038.78/18,582
  6. Step 6: Final answer
    x = 14,661.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.