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Finding the Fourth Proportional to 17,806.59, 24,572.97 and 9,848.52

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Solution

The fourth proportional to 17,806.59, 24,572.97 and 9,848.52 is: 13,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.59 : 24,572.97 = 9,848.52 : x
  2. Step 2: Convert to fraction form
    17,806.59/24,572.97 = 9,848.52/x
  3. Step 3: Cross multiply
    17,806.59x = 24,572.97 × 9,848.52
  4. Step 4: Simplify right side
    17,806.59x = 242,007,386.50
  5. Step 5: Solve for x
    x = 242,007,386.50/17,806.59
  6. Step 6: Final answer
    x = 13,590.89

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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.