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Finding the Fourth Proportional to 21,598.48, 29,806.82 and 12,038.38

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Solution

The fourth proportional to 21,598.48, 29,806.82 and 12,038.38 is: 16,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.48 : 29,806.82 = 12,038.38 : x
  2. Step 2: Convert to fraction form
    21,598.48/29,806.82 = 12,038.38/x
  3. Step 3: Cross multiply
    21,598.48x = 29,806.82 × 12,038.38
  4. Step 4: Simplify right side
    21,598.48x = 358,825,616.53
  5. Step 5: Solve for x
    x = 358,825,616.53/21,598.48
  6. Step 6: Final answer
    x = 16,613.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.