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Finding the Fourth Proportional to 23,364.42, 32,239.10 and 13,802.98

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Solution

The fourth proportional to 23,364.42, 32,239.10 and 13,802.98 is: 19,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364.42 : 32,239.10 = 13,802.98 : x
  2. Step 2: Convert to fraction form
    23,364.42/32,239.10 = 13,802.98/x
  3. Step 3: Cross multiply
    23,364.42x = 32,239.10 × 13,802.98
  4. Step 4: Simplify right side
    23,364.42x = 444,995,422.31
  5. Step 5: Solve for x
    x = 444,995,422.31/23,364.42
  6. Step 6: Final answer
    x = 19,045.86

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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.