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Finding the Fourth Proportional to 14,259.44, 19,678.16 and 7,885.70

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Solution

The fourth proportional to 14,259.44, 19,678.16 and 7,885.70 is: 10,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.44 : 19,678.16 = 7,885.70 : x
  2. Step 2: Convert to fraction form
    14,259.44/19,678.16 = 7,885.70/x
  3. Step 3: Cross multiply
    14,259.44x = 19,678.16 × 7,885.70
  4. Step 4: Simplify right side
    14,259.44x = 155,176,095.79
  5. Step 5: Solve for x
    x = 155,176,095.79/14,259.44
  6. Step 6: Final answer
    x = 10,882.34

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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.