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Finding the Fourth Proportional to 14,259.71, 19,678.28 and 7,886.59

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Solution

The fourth proportional to 14,259.71, 19,678.28 and 7,886.59 is: 10,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.71 : 19,678.28 = 7,886.59 : x
  2. Step 2: Convert to fraction form
    14,259.71/19,678.28 = 7,886.59/x
  3. Step 3: Cross multiply
    14,259.71x = 19,678.28 × 7,886.59
  4. Step 4: Simplify right side
    14,259.71x = 155,194,437.64
  5. Step 5: Solve for x
    x = 155,194,437.64/14,259.71
  6. Step 6: Final answer
    x = 10,883.42

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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.