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Finding the Fourth Proportional to 16,153.77, 22,285.35 and 9,862.50

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Solution

The fourth proportional to 16,153.77, 22,285.35 and 9,862.50 is: 13,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.77 : 22,285.35 = 9,862.50 : x
  2. Step 2: Convert to fraction form
    16,153.77/22,285.35 = 9,862.50/x
  3. Step 3: Cross multiply
    16,153.77x = 22,285.35 × 9,862.50
  4. Step 4: Simplify right side
    16,153.77x = 219,789,264.38
  5. Step 5: Solve for x
    x = 219,789,264.38/16,153.77
  6. Step 6: Final answer
    x = 13,606.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.