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Finding the Fourth Proportional to 18,590.50, 25,655.30 and 10,207

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Solution

The fourth proportional to 18,590.50, 25,655.30 and 10,207 is: 14,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590.50 : 25,655.30 = 10,207 : x
  2. Step 2: Convert to fraction form
    18,590.50/25,655.30 = 10,207/x
  3. Step 3: Cross multiply
    18,590.50x = 25,655.30 × 10,207
  4. Step 4: Simplify right side
    18,590.50x = 261,863,647.10
  5. Step 5: Solve for x
    x = 261,863,647.10/18,590.50
  6. Step 6: Final answer
    x = 14,085.89

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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.