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Finding the Fourth Proportional to 30,716.46, 42,390.93 and 17,289.06

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Solution

The fourth proportional to 30,716.46, 42,390.93 and 17,289.06 is: 23,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.46 : 42,390.93 = 17,289.06 : x
  2. Step 2: Convert to fraction form
    30,716.46/42,390.93 = 17,289.06/x
  3. Step 3: Cross multiply
    30,716.46x = 42,390.93 × 17,289.06
  4. Step 4: Simplify right side
    30,716.46x = 732,899,332.23
  5. Step 5: Solve for x
    x = 732,899,332.23/30,716.46
  6. Step 6: Final answer
    x = 23,860.15

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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.