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Finding the Fourth Proportional to 23,779.01, 32,814.96 and 13,707.39

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Solution

The fourth proportional to 23,779.01, 32,814.96 and 13,707.39 is: 18,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.01 : 32,814.96 = 13,707.39 : x
  2. Step 2: Convert to fraction form
    23,779.01/32,814.96 = 13,707.39/x
  3. Step 3: Cross multiply
    23,779.01x = 32,814.96 × 13,707.39
  4. Step 4: Simplify right side
    23,779.01x = 449,807,454.55
  5. Step 5: Solve for x
    x = 449,807,454.55/23,779.01
  6. Step 6: Final answer
    x = 18,916.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.