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Finding the Fourth Proportional to 14,278.92, 19,706.04 and 8,312.40

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Solution

The fourth proportional to 14,278.92, 19,706.04 and 8,312.40 is: 11,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.92 : 19,706.04 = 8,312.40 : x
  2. Step 2: Convert to fraction form
    14,278.92/19,706.04 = 8,312.40/x
  3. Step 3: Cross multiply
    14,278.92x = 19,706.04 × 8,312.40
  4. Step 4: Simplify right side
    14,278.92x = 163,804,486.90
  5. Step 5: Solve for x
    x = 163,804,486.90/14,278.92
  6. Step 6: Final answer
    x = 11,471.77

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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.