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Finding the Fourth Proportional to 13,952.25, 19,254.51 and 7,984.58

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Solution

The fourth proportional to 13,952.25, 19,254.51 and 7,984.58 is: 11,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.25 : 19,254.51 = 7,984.58 : x
  2. Step 2: Convert to fraction form
    13,952.25/19,254.51 = 7,984.58/x
  3. Step 3: Cross multiply
    13,952.25x = 19,254.51 × 7,984.58
  4. Step 4: Simplify right side
    13,952.25x = 153,739,079.18
  5. Step 5: Solve for x
    x = 153,739,079.18/13,952.25
  6. Step 6: Final answer
    x = 11,018.95

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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.