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Finding the Fourth Proportional to 17,715.58, 26,555.14 and 7,859.50

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Solution

The fourth proportional to 17,715.58, 26,555.14 and 7,859.50 is: 11,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.58 : 26,555.14 = 7,859.50 : x
  2. Step 2: Convert to fraction form
    17,715.58/26,555.14 = 7,859.50/x
  3. Step 3: Cross multiply
    17,715.58x = 26,555.14 × 7,859.50
  4. Step 4: Simplify right side
    17,715.58x = 208,710,122.83
  5. Step 5: Solve for x
    x = 208,710,122.83/17,715.58
  6. Step 6: Final answer
    x = 11,781.16

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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.