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Finding the Fourth Proportional to 23,457.75, 32,363.65 and 13,378.94

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Solution

The fourth proportional to 23,457.75, 32,363.65 and 13,378.94 is: 18,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.75 : 32,363.65 = 13,378.94 : x
  2. Step 2: Convert to fraction form
    23,457.75/32,363.65 = 13,378.94/x
  3. Step 3: Cross multiply
    23,457.75x = 32,363.65 × 13,378.94
  4. Step 4: Simplify right side
    23,457.75x = 432,991,314.81
  5. Step 5: Solve for x
    x = 432,991,314.81/23,457.75
  6. Step 6: Final answer
    x = 18,458.35

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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.