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Finding the Fourth Proportional to 13,282.53, 19,911.93 and 4,956.13

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Solution

The fourth proportional to 13,282.53, 19,911.93 and 4,956.13 is: 7,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.53 : 19,911.93 = 4,956.13 : x
  2. Step 2: Convert to fraction form
    13,282.53/19,911.93 = 4,956.13/x
  3. Step 3: Cross multiply
    13,282.53x = 19,911.93 × 4,956.13
  4. Step 4: Simplify right side
    13,282.53x = 98,686,113.63
  5. Step 5: Solve for x
    x = 98,686,113.63/13,282.53
  6. Step 6: Final answer
    x = 7,429.77

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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.