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Finding the Fourth Proportional to 23,888.29, 35,818.71 and 9,857.98

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Solution

The fourth proportional to 23,888.29, 35,818.71 and 9,857.98 is: 14,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888.29 : 35,818.71 = 9,857.98 : x
  2. Step 2: Convert to fraction form
    23,888.29/35,818.71 = 9,857.98/x
  3. Step 3: Cross multiply
    23,888.29x = 35,818.71 × 9,857.98
  4. Step 4: Simplify right side
    23,888.29x = 353,100,126.81
  5. Step 5: Solve for x
    x = 353,100,126.81/23,888.29
  6. Step 6: Final answer
    x = 14,781.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.