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Finding the Fourth Proportional to 23,530.35, 32,468.04 and 13,457.17

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Solution

The fourth proportional to 23,530.35, 32,468.04 and 13,457.17 is: 18,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.35 : 32,468.04 = 13,457.17 : x
  2. Step 2: Convert to fraction form
    23,530.35/32,468.04 = 13,457.17/x
  3. Step 3: Cross multiply
    23,530.35x = 32,468.04 × 13,457.17
  4. Step 4: Simplify right side
    23,530.35x = 436,927,933.85
  5. Step 5: Solve for x
    x = 436,927,933.85/23,530.35
  6. Step 6: Final answer
    x = 18,568.70

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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.