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Finding the Fourth Proportional to 14,089.40, 19,443.13 and 7,801.64

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Solution

The fourth proportional to 14,089.40, 19,443.13 and 7,801.64 is: 10,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.40 : 19,443.13 = 7,801.64 : x
  2. Step 2: Convert to fraction form
    14,089.40/19,443.13 = 7,801.64/x
  3. Step 3: Cross multiply
    14,089.40x = 19,443.13 × 7,801.64
  4. Step 4: Simplify right side
    14,089.40x = 151,688,164.51
  5. Step 5: Solve for x
    x = 151,688,164.51/14,089.40
  6. Step 6: Final answer
    x = 10,766.12

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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.