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Finding the Fourth Proportional to 19,624.08, 27,058.56 and 15,642.08

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Solution

The fourth proportional to 19,624.08, 27,058.56 and 15,642.08 is: 21,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624.08 : 27,058.56 = 15,642.08 : x
  2. Step 2: Convert to fraction form
    19,624.08/27,058.56 = 15,642.08/x
  3. Step 3: Cross multiply
    19,624.08x = 27,058.56 × 15,642.08
  4. Step 4: Simplify right side
    19,624.08x = 423,252,160.20
  5. Step 5: Solve for x
    x = 423,252,160.20/19,624.08
  6. Step 6: Final answer
    x = 21,568.00

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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.