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Finding the Fourth Proportional to 21,537.93, 32,306.68 and 7,497.93

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Solution

The fourth proportional to 21,537.93, 32,306.68 and 7,497.93 is: 11,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.93 : 32,306.68 = 7,497.93 : x
  2. Step 2: Convert to fraction form
    21,537.93/32,306.68 = 7,497.93/x
  3. Step 3: Cross multiply
    21,537.93x = 32,306.68 × 7,497.93
  4. Step 4: Simplify right side
    21,537.93x = 242,233,225.17
  5. Step 5: Solve for x
    x = 242,233,225.17/21,537.93
  6. Step 6: Final answer
    x = 11,246.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.