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Finding the Fourth Proportional to 23,408.96, 32,332.08 and 15,842.17

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Solution

The fourth proportional to 23,408.96, 32,332.08 and 15,842.17 is: 21,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.96 : 32,332.08 = 15,842.17 : x
  2. Step 2: Convert to fraction form
    23,408.96/32,332.08 = 15,842.17/x
  3. Step 3: Cross multiply
    23,408.96x = 32,332.08 × 15,842.17
  4. Step 4: Simplify right side
    23,408.96x = 512,210,307.81
  5. Step 5: Solve for x
    x = 512,210,307.81/23,408.96
  6. Step 6: Final answer
    x = 21,880.95

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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.