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Finding the Fourth Proportional to 19,707.84, 27,184.32 and 12,643.20

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Solution

The fourth proportional to 19,707.84, 27,184.32 and 12,643.20 is: 17,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.84 : 27,184.32 = 12,643.20 : x
  2. Step 2: Convert to fraction form
    19,707.84/27,184.32 = 12,643.20/x
  3. Step 3: Cross multiply
    19,707.84x = 27,184.32 × 12,643.20
  4. Step 4: Simplify right side
    19,707.84x = 343,696,794.62
  5. Step 5: Solve for x
    x = 343,696,794.62/19,707.84
  6. Step 6: Final answer
    x = 17,439.60

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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.