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Finding the Fourth Proportional to 21,752.12, 30,020.78 and 12,321

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Solution

The fourth proportional to 21,752.12, 30,020.78 and 12,321 is: 17,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.12 : 30,020.78 = 12,321 : x
  2. Step 2: Convert to fraction form
    21,752.12/30,020.78 = 12,321/x
  3. Step 3: Cross multiply
    21,752.12x = 30,020.78 × 12,321
  4. Step 4: Simplify right side
    21,752.12x = 369,886,030.38
  5. Step 5: Solve for x
    x = 369,886,030.38/21,752.12
  6. Step 6: Final answer
    x = 17,004.60

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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.