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Finding the Fourth Proportional to 13,153.77, 19,717.83 and 5,253.93

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Solution

The fourth proportional to 13,153.77, 19,717.83 and 5,253.93 is: 7,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.77 : 19,717.83 = 5,253.93 : x
  2. Step 2: Convert to fraction form
    13,153.77/19,717.83 = 5,253.93/x
  3. Step 3: Cross multiply
    13,153.77x = 19,717.83 × 5,253.93
  4. Step 4: Simplify right side
    13,153.77x = 103,596,098.57
  5. Step 5: Solve for x
    x = 103,596,098.57/13,153.77
  6. Step 6: Final answer
    x = 7,875.77

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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.