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Finding the Fourth Proportional to 21,981, 30,331.95 and 12,421.71

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Solution

The fourth proportional to 21,981, 30,331.95 and 12,421.71 is: 17,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981 : 30,331.95 = 12,421.71 : x
  2. Step 2: Convert to fraction form
    21,981/30,331.95 = 12,421.71/x
  3. Step 3: Cross multiply
    21,981x = 30,331.95 × 12,421.71
  4. Step 4: Simplify right side
    21,981x = 376,774,686.63
  5. Step 5: Solve for x
    x = 376,774,686.63/21,981
  6. Step 6: Final answer
    x = 17,140.93

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