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Finding the Fourth Proportional to 23,244.48, 32,078.16 and 13,822.56

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Solution

The fourth proportional to 23,244.48, 32,078.16 and 13,822.56 is: 19,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244.48 : 32,078.16 = 13,822.56 : x
  2. Step 2: Convert to fraction form
    23,244.48/32,078.16 = 13,822.56/x
  3. Step 3: Cross multiply
    23,244.48x = 32,078.16 × 13,822.56
  4. Step 4: Simplify right side
    23,244.48x = 443,402,291.29
  5. Step 5: Solve for x
    x = 443,402,291.29/23,244.48
  6. Step 6: Final answer
    x = 19,075.60

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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.