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Finding the Fourth Proportional to 23,484.60, 32,412.30 and 13,415.16

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Solution

The fourth proportional to 23,484.60, 32,412.30 and 13,415.16 is: 18,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.60 : 32,412.30 = 13,415.16 : x
  2. Step 2: Convert to fraction form
    23,484.60/32,412.30 = 13,415.16/x
  3. Step 3: Cross multiply
    23,484.60x = 32,412.30 × 13,415.16
  4. Step 4: Simplify right side
    23,484.60x = 434,816,190.47
  5. Step 5: Solve for x
    x = 434,816,190.47/23,484.60
  6. Step 6: Final answer
    x = 18,514.95

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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.