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Finding the Fourth Proportional to 23,317.60, 32,178 and 12,969.04

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Solution

The fourth proportional to 23,317.60, 32,178 and 12,969.04 is: 17,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,317.60 : 32,178 = 12,969.04 : x
  2. Step 2: Convert to fraction form
    23,317.60/32,178 = 12,969.04/x
  3. Step 3: Cross multiply
    23,317.60x = 32,178 × 12,969.04
  4. Step 4: Simplify right side
    23,317.60x = 417,317,769.12
  5. Step 5: Solve for x
    x = 417,317,769.12/23,317.60
  6. Step 6: Final answer
    x = 17,897.12

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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.