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Finding the Fourth Proportional to 19,869.84, 27,411.36 and 12,314.16

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Solution

The fourth proportional to 19,869.84, 27,411.36 and 12,314.16 is: 16,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.84 : 27,411.36 = 12,314.16 : x
  2. Step 2: Convert to fraction form
    19,869.84/27,411.36 = 12,314.16/x
  3. Step 3: Cross multiply
    19,869.84x = 27,411.36 × 12,314.16
  4. Step 4: Simplify right side
    19,869.84x = 337,547,872.86
  5. Step 5: Solve for x
    x = 337,547,872.86/19,869.84
  6. Step 6: Final answer
    x = 16,987.95

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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.