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Finding the Fourth Proportional to 14,152.17, 19,529.46 and 7,864.95

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Solution

The fourth proportional to 14,152.17, 19,529.46 and 7,864.95 is: 10,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.17 : 19,529.46 = 7,864.95 : x
  2. Step 2: Convert to fraction form
    14,152.17/19,529.46 = 7,864.95/x
  3. Step 3: Cross multiply
    14,152.17x = 19,529.46 × 7,864.95
  4. Step 4: Simplify right side
    14,152.17x = 153,598,226.43
  5. Step 5: Solve for x
    x = 153,598,226.43/14,152.17
  6. Step 6: Final answer
    x = 10,853.33

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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.