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Finding the Fourth Proportional to 23,434.48, 32,339.59 and 12,824.11

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Solution

The fourth proportional to 23,434.48, 32,339.59 and 12,824.11 is: 17,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.48 : 32,339.59 = 12,824.11 : x
  2. Step 2: Convert to fraction form
    23,434.48/32,339.59 = 12,824.11/x
  3. Step 3: Cross multiply
    23,434.48x = 32,339.59 × 12,824.11
  4. Step 4: Simplify right side
    23,434.48x = 414,726,459.51
  5. Step 5: Solve for x
    x = 414,726,459.51/23,434.48
  6. Step 6: Final answer
    x = 17,697.28

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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.