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Finding the Fourth Proportional to 21,678.10, 32,526.52 and 7,648.14

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Solution

The fourth proportional to 21,678.10, 32,526.52 and 7,648.14 is: 11,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.10 : 32,526.52 = 7,648.14 : x
  2. Step 2: Convert to fraction form
    21,678.10/32,526.52 = 7,648.14/x
  3. Step 3: Cross multiply
    21,678.10x = 32,526.52 × 7,648.14
  4. Step 4: Simplify right side
    21,678.10x = 248,767,378.67
  5. Step 5: Solve for x
    x = 248,767,378.67/21,678.10
  6. Step 6: Final answer
    x = 11,475.52

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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.