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Finding the Fourth Proportional to 19,726.38, 29,592 and 8,038.08

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Solution

The fourth proportional to 19,726.38, 29,592 and 8,038.08 is: 12,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.38 : 29,592 = 8,038.08 : x
  2. Step 2: Convert to fraction form
    19,726.38/29,592 = 8,038.08/x
  3. Step 3: Cross multiply
    19,726.38x = 29,592 × 8,038.08
  4. Step 4: Simplify right side
    19,726.38x = 237,862,863.36
  5. Step 5: Solve for x
    x = 237,862,863.36/19,726.38
  6. Step 6: Final answer
    x = 12,058.11

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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.