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Finding the Fourth Proportional to 32,184.72, 48,263.40 and 14,665.68

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Solution

The fourth proportional to 32,184.72, 48,263.40 and 14,665.68 is: 21,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.72 : 48,263.40 = 14,665.68 : x
  2. Step 2: Convert to fraction form
    32,184.72/48,263.40 = 14,665.68/x
  3. Step 3: Cross multiply
    32,184.72x = 48,263.40 × 14,665.68
  4. Step 4: Simplify right side
    32,184.72x = 707,815,580.11
  5. Step 5: Solve for x
    x = 707,815,580.11/32,184.72
  6. Step 6: Final answer
    x = 21,992.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.