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Finding the Fourth Proportional to 12,875.74, 17,774.61 and 9,690.28

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Solution

The fourth proportional to 12,875.74, 17,774.61 and 9,690.28 is: 13,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.74 : 17,774.61 = 9,690.28 : x
  2. Step 2: Convert to fraction form
    12,875.74/17,774.61 = 9,690.28/x
  3. Step 3: Cross multiply
    12,875.74x = 17,774.61 × 9,690.28
  4. Step 4: Simplify right side
    12,875.74x = 172,240,867.02
  5. Step 5: Solve for x
    x = 172,240,867.02/12,875.74
  6. Step 6: Final answer
    x = 13,377.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.