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Finding the Fourth Proportional to 18,547.74, 25,590.90 and 10,588.38

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Solution

The fourth proportional to 18,547.74, 25,590.90 and 10,588.38 is: 14,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.74 : 25,590.90 = 10,588.38 : x
  2. Step 2: Convert to fraction form
    18,547.74/25,590.90 = 10,588.38/x
  3. Step 3: Cross multiply
    18,547.74x = 25,590.90 × 10,588.38
  4. Step 4: Simplify right side
    18,547.74x = 270,966,173.74
  5. Step 5: Solve for x
    x = 270,966,173.74/18,547.74
  6. Step 6: Final answer
    x = 14,609.12

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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.