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Finding the Fourth Proportional to 21,307.12, 31,975.08 and 7,456.24

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Solution

The fourth proportional to 21,307.12, 31,975.08 and 7,456.24 is: 11,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.12 : 31,975.08 = 7,456.24 : x
  2. Step 2: Convert to fraction form
    21,307.12/31,975.08 = 7,456.24/x
  3. Step 3: Cross multiply
    21,307.12x = 31,975.08 × 7,456.24
  4. Step 4: Simplify right side
    21,307.12x = 238,413,870.50
  5. Step 5: Solve for x
    x = 238,413,870.50/21,307.12
  6. Step 6: Final answer
    x = 11,189.40

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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.