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Finding the Fourth Proportional to 43,384.68, 65,077.56 and 13,802.40

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Solution

The fourth proportional to 43,384.68, 65,077.56 and 13,802.40 is: 20,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,384.68 : 65,077.56 = 13,802.40 : x
  2. Step 2: Convert to fraction form
    43,384.68/65,077.56 = 13,802.40/x
  3. Step 3: Cross multiply
    43,384.68x = 65,077.56 × 13,802.40
  4. Step 4: Simplify right side
    43,384.68x = 898,226,514.14
  5. Step 5: Solve for x
    x = 898,226,514.14/43,384.68
  6. Step 6: Final answer
    x = 20,703.77

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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.