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Finding the Fourth Proportional to 26,501.76, 36,572.44 and 14,565

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Solution

The fourth proportional to 26,501.76, 36,572.44 and 14,565 is: 20,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.76 : 36,572.44 = 14,565 : x
  2. Step 2: Convert to fraction form
    26,501.76/36,572.44 = 14,565/x
  3. Step 3: Cross multiply
    26,501.76x = 36,572.44 × 14,565
  4. Step 4: Simplify right side
    26,501.76x = 532,677,588.60
  5. Step 5: Solve for x
    x = 532,677,588.60/26,501.76
  6. Step 6: Final answer
    x = 20,099.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.