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Finding the Fourth Proportional to 13,906.94, 20,863.66 and 4,547.40

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Solution

The fourth proportional to 13,906.94, 20,863.66 and 4,547.40 is: 6,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.94 : 20,863.66 = 4,547.40 : x
  2. Step 2: Convert to fraction form
    13,906.94/20,863.66 = 4,547.40/x
  3. Step 3: Cross multiply
    13,906.94x = 20,863.66 × 4,547.40
  4. Step 4: Simplify right side
    13,906.94x = 94,875,407.48
  5. Step 5: Solve for x
    x = 94,875,407.48/13,906.94
  6. Step 6: Final answer
    x = 6,822.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.