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Finding the Fourth Proportional to 14,760, 20,368.06 and 8,045.60

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Solution

The fourth proportional to 14,760, 20,368.06 and 8,045.60 is: 11,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760 : 20,368.06 = 8,045.60 : x
  2. Step 2: Convert to fraction form
    14,760/20,368.06 = 8,045.60/x
  3. Step 3: Cross multiply
    14,760x = 20,368.06 × 8,045.60
  4. Step 4: Simplify right side
    14,760x = 163,873,263.54
  5. Step 5: Solve for x
    x = 163,873,263.54/14,760
  6. Step 6: Final answer
    x = 11,102.52

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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.