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Finding the Fourth Proportional to 14,557, 20,088.66 and 7,933

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Solution

The fourth proportional to 14,557, 20,088.66 and 7,933 is: 10,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557 : 20,088.66 = 7,933 : x
  2. Step 2: Convert to fraction form
    14,557/20,088.66 = 7,933/x
  3. Step 3: Cross multiply
    14,557x = 20,088.66 × 7,933
  4. Step 4: Simplify right side
    14,557x = 159,363,339.78
  5. Step 5: Solve for x
    x = 159,363,339.78/14,557
  6. Step 6: Final answer
    x = 10,947.54

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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.