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Finding the Fourth Proportional to 14,091.16, 19,444.82 and 7,803

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Solution

The fourth proportional to 14,091.16, 19,444.82 and 7,803 is: 10,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.16 : 19,444.82 = 7,803 : x
  2. Step 2: Convert to fraction form
    14,091.16/19,444.82 = 7,803/x
  3. Step 3: Cross multiply
    14,091.16x = 19,444.82 × 7,803
  4. Step 4: Simplify right side
    14,091.16x = 151,727,930.46
  5. Step 5: Solve for x
    x = 151,727,930.46/14,091.16
  6. Step 6: Final answer
    x = 10,767.60

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