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Finding the Fourth Proportional to 21,303.84, 31,962.24 and 9,613.92

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Solution

The fourth proportional to 21,303.84, 31,962.24 and 9,613.92 is: 14,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.84 : 31,962.24 = 9,613.92 : x
  2. Step 2: Convert to fraction form
    21,303.84/31,962.24 = 9,613.92/x
  3. Step 3: Cross multiply
    21,303.84x = 31,962.24 × 9,613.92
  4. Step 4: Simplify right side
    21,303.84x = 307,282,418.38
  5. Step 5: Solve for x
    x = 307,282,418.38/21,303.84
  6. Step 6: Final answer
    x = 14,423.80

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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.