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Finding the Fourth Proportional to 19,726.06, 29,587.47 and 5,875.06

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Solution

The fourth proportional to 19,726.06, 29,587.47 and 5,875.06 is: 8,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.06 : 29,587.47 = 5,875.06 : x
  2. Step 2: Convert to fraction form
    19,726.06/29,587.47 = 5,875.06/x
  3. Step 3: Cross multiply
    19,726.06x = 29,587.47 × 5,875.06
  4. Step 4: Simplify right side
    19,726.06x = 173,828,161.50
  5. Step 5: Solve for x
    x = 173,828,161.50/19,726.06
  6. Step 6: Final answer
    x = 8,812.11

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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.