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Finding the Fourth Proportional to 23,153.94, 34,703.01 and 10,656.87

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Solution

The fourth proportional to 23,153.94, 34,703.01 and 10,656.87 is: 15,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.94 : 34,703.01 = 10,656.87 : x
  2. Step 2: Convert to fraction form
    23,153.94/34,703.01 = 10,656.87/x
  3. Step 3: Cross multiply
    23,153.94x = 34,703.01 × 10,656.87
  4. Step 4: Simplify right side
    23,153.94x = 369,825,466.18
  5. Step 5: Solve for x
    x = 369,825,466.18/23,153.94
  6. Step 6: Final answer
    x = 15,972.46

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Why These Related Problems?

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