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Finding the Fourth Proportional to 23,534.48, 32,492.76 and 14,591.48

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Solution

The fourth proportional to 23,534.48, 32,492.76 and 14,591.48 is: 20,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.48 : 32,492.76 = 14,591.48 : x
  2. Step 2: Convert to fraction form
    23,534.48/32,492.76 = 14,591.48/x
  3. Step 3: Cross multiply
    23,534.48x = 32,492.76 × 14,591.48
  4. Step 4: Simplify right side
    23,534.48x = 474,117,457.68
  5. Step 5: Solve for x
    x = 474,117,457.68/23,534.48
  6. Step 6: Final answer
    x = 20,145.65

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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.