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Finding the Fourth Proportional to 19,693.77, 29,519.38 and 9,705.46

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Solution

The fourth proportional to 19,693.77, 29,519.38 and 9,705.46 is: 14,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.77 : 29,519.38 = 9,705.46 : x
  2. Step 2: Convert to fraction form
    19,693.77/29,519.38 = 9,705.46/x
  3. Step 3: Cross multiply
    19,693.77x = 29,519.38 × 9,705.46
  4. Step 4: Simplify right side
    19,693.77x = 286,499,161.81
  5. Step 5: Solve for x
    x = 286,499,161.81/19,693.77
  6. Step 6: Final answer
    x = 14,547.71

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