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Finding the Fourth Proportional to 15,726.51, 23,588.99 and 5,865.02

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Solution

The fourth proportional to 15,726.51, 23,588.99 and 5,865.02 is: 8,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.51 : 23,588.99 = 5,865.02 : x
  2. Step 2: Convert to fraction form
    15,726.51/23,588.99 = 5,865.02/x
  3. Step 3: Cross multiply
    15,726.51x = 23,588.99 × 5,865.02
  4. Step 4: Simplify right side
    15,726.51x = 138,349,898.13
  5. Step 5: Solve for x
    x = 138,349,898.13/15,726.51
  6. Step 6: Final answer
    x = 8,797.24

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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.