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Finding the Fourth Proportional to 14,259.74, 19,678.57 and 7,886.00

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Solution

The fourth proportional to 14,259.74, 19,678.57 and 7,886.00 is: 10,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.74 : 19,678.57 = 7,886.00 : x
  2. Step 2: Convert to fraction form
    14,259.74/19,678.57 = 7,886.00/x
  3. Step 3: Cross multiply
    14,259.74x = 19,678.57 × 7,886.00
  4. Step 4: Simplify right side
    14,259.74x = 155,185,232.50
  5. Step 5: Solve for x
    x = 155,185,232.50/14,259.74
  6. Step 6: Final answer
    x = 10,882.76

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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.