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Finding the Fourth Proportional to 23,663.72, 32,659.80 and 14,104.10

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Solution

The fourth proportional to 23,663.72, 32,659.80 and 14,104.10 is: 19,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.72 : 32,659.80 = 14,104.10 : x
  2. Step 2: Convert to fraction form
    23,663.72/32,659.80 = 14,104.10/x
  3. Step 3: Cross multiply
    23,663.72x = 32,659.80 × 14,104.10
  4. Step 4: Simplify right side
    23,663.72x = 460,637,085.18
  5. Step 5: Solve for x
    x = 460,637,085.18/23,663.72
  6. Step 6: Final answer
    x = 19,465.96

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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.