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Finding the Fourth Proportional to 13,060.32, 19,554 and 9,972.96

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Solution

The fourth proportional to 13,060.32, 19,554 and 9,972.96 is: 14,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.32 : 19,554 = 9,972.96 : x
  2. Step 2: Convert to fraction form
    13,060.32/19,554 = 9,972.96/x
  3. Step 3: Cross multiply
    13,060.32x = 19,554 × 9,972.96
  4. Step 4: Simplify right side
    13,060.32x = 195,011,259.84
  5. Step 5: Solve for x
    x = 195,011,259.84/13,060.32
  6. Step 6: Final answer
    x = 14,931.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.