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Finding the Fourth Proportional to 21,765.20, 32,646.06 and 6,970.14

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Solution

The fourth proportional to 21,765.20, 32,646.06 and 6,970.14 is: 10,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.20 : 32,646.06 = 6,970.14 : x
  2. Step 2: Convert to fraction form
    21,765.20/32,646.06 = 6,970.14/x
  3. Step 3: Cross multiply
    21,765.20x = 32,646.06 × 6,970.14
  4. Step 4: Simplify right side
    21,765.20x = 227,547,608.65
  5. Step 5: Solve for x
    x = 227,547,608.65/21,765.20
  6. Step 6: Final answer
    x = 10,454.66

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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.