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Finding the Fourth Proportional to 14,346, 19,797.12 and 7,972.61

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Solution

The fourth proportional to 14,346, 19,797.12 and 7,972.61 is: 11,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346 : 19,797.12 = 7,972.61 : x
  2. Step 2: Convert to fraction form
    14,346/19,797.12 = 7,972.61/x
  3. Step 3: Cross multiply
    14,346x = 19,797.12 × 7,972.61
  4. Step 4: Simplify right side
    14,346x = 157,834,617.90
  5. Step 5: Solve for x
    x = 157,834,617.90/14,346
  6. Step 6: Final answer
    x = 11,001.99

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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.