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Finding the Fourth Proportional to 23,779.60, 32,814.94 and 13,024.30

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Solution

The fourth proportional to 23,779.60, 32,814.94 and 13,024.30 is: 17,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.60 : 32,814.94 = 13,024.30 : x
  2. Step 2: Convert to fraction form
    23,779.60/32,814.94 = 13,024.30/x
  3. Step 3: Cross multiply
    23,779.60x = 32,814.94 × 13,024.30
  4. Step 4: Simplify right side
    23,779.60x = 427,391,623.04
  5. Step 5: Solve for x
    x = 427,391,623.04/23,779.60
  6. Step 6: Final answer
    x = 17,973.04

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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.