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Finding the Fourth Proportional to 14,184.16, 19,574.40 and 8,214.40

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Solution

The fourth proportional to 14,184.16, 19,574.40 and 8,214.40 is: 11,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.16 : 19,574.40 = 8,214.40 : x
  2. Step 2: Convert to fraction form
    14,184.16/19,574.40 = 8,214.40/x
  3. Step 3: Cross multiply
    14,184.16x = 19,574.40 × 8,214.40
  4. Step 4: Simplify right side
    14,184.16x = 160,791,951.36
  5. Step 5: Solve for x
    x = 160,791,951.36/14,184.16
  6. Step 6: Final answer
    x = 11,336.02

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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.