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Finding the Fourth Proportional to 17,875.84, 26,808.54 and 6,774.52

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Solution

The fourth proportional to 17,875.84, 26,808.54 and 6,774.52 is: 10,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.84 : 26,808.54 = 6,774.52 : x
  2. Step 2: Convert to fraction form
    17,875.84/26,808.54 = 6,774.52/x
  3. Step 3: Cross multiply
    17,875.84x = 26,808.54 × 6,774.52
  4. Step 4: Simplify right side
    17,875.84x = 181,614,990.40
  5. Step 5: Solve for x
    x = 181,614,990.40/17,875.84
  6. Step 6: Final answer
    x = 10,159.80

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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.