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Finding the Fourth Proportional to 23,424.60, 32,326.18 and 12,814

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Solution

The fourth proportional to 23,424.60, 32,326.18 and 12,814 is: 17,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.60 : 32,326.18 = 12,814 : x
  2. Step 2: Convert to fraction form
    23,424.60/32,326.18 = 12,814/x
  3. Step 3: Cross multiply
    23,424.60x = 32,326.18 × 12,814
  4. Step 4: Simplify right side
    23,424.60x = 414,227,670.52
  5. Step 5: Solve for x
    x = 414,227,670.52/23,424.60
  6. Step 6: Final answer
    x = 17,683.45

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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.