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Finding the Fourth Proportional to 23,837.88, 35,758.53 and 6,307.50

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Solution

The fourth proportional to 23,837.88, 35,758.53 and 6,307.50 is: 9,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.88 : 35,758.53 = 6,307.50 : x
  2. Step 2: Convert to fraction form
    23,837.88/35,758.53 = 6,307.50/x
  3. Step 3: Cross multiply
    23,837.88x = 35,758.53 × 6,307.50
  4. Step 4: Simplify right side
    23,837.88x = 225,546,927.98
  5. Step 5: Solve for x
    x = 225,546,927.98/23,837.88
  6. Step 6: Final answer
    x = 9,461.70

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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.