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Finding the Fourth Proportional to 26,305, 36,301.98 and 15,127

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Solution

The fourth proportional to 26,305, 36,301.98 and 15,127 is: 20,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,305 : 36,301.98 = 15,127 : x
  2. Step 2: Convert to fraction form
    26,305/36,301.98 = 15,127/x
  3. Step 3: Cross multiply
    26,305x = 36,301.98 × 15,127
  4. Step 4: Simplify right side
    26,305x = 549,140,051.46
  5. Step 5: Solve for x
    x = 549,140,051.46/26,305
  6. Step 6: Final answer
    x = 20,875.88

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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.