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Finding the Fourth Proportional to 21,377.36, 32,065.68 and 7,526

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Solution

The fourth proportional to 21,377.36, 32,065.68 and 7,526 is: 11,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.36 : 32,065.68 = 7,526 : x
  2. Step 2: Convert to fraction form
    21,377.36/32,065.68 = 7,526/x
  3. Step 3: Cross multiply
    21,377.36x = 32,065.68 × 7,526
  4. Step 4: Simplify right side
    21,377.36x = 241,326,307.68
  5. Step 5: Solve for x
    x = 241,326,307.68/21,377.36
  6. Step 6: Final answer
    x = 11,288.87

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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.