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Finding the Fourth Proportional to 30,641.76, 42,289.58 and 17,213.01

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Solution

The fourth proportional to 30,641.76, 42,289.58 and 17,213.01 is: 23,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.76 : 42,289.58 = 17,213.01 : x
  2. Step 2: Convert to fraction form
    30,641.76/42,289.58 = 17,213.01/x
  3. Step 3: Cross multiply
    30,641.76x = 42,289.58 × 17,213.01
  4. Step 4: Simplify right side
    30,641.76x = 727,930,877.37
  5. Step 5: Solve for x
    x = 727,930,877.37/30,641.76
  6. Step 6: Final answer
    x = 23,756.17

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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.