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Finding the Fourth Proportional to 19,876.19, 27,430.12 and 12,326.49

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Solution

The fourth proportional to 19,876.19, 27,430.12 and 12,326.49 is: 17,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.19 : 27,430.12 = 12,326.49 : x
  2. Step 2: Convert to fraction form
    19,876.19/27,430.12 = 12,326.49/x
  3. Step 3: Cross multiply
    19,876.19x = 27,430.12 × 12,326.49
  4. Step 4: Simplify right side
    19,876.19x = 338,116,901.10
  5. Step 5: Solve for x
    x = 338,116,901.10/19,876.19
  6. Step 6: Final answer
    x = 17,011.15

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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.