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Finding the Fourth Proportional to 42,261.84, 63,396.36 and 11,097

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Solution

The fourth proportional to 42,261.84, 63,396.36 and 11,097 is: 16,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,261.84 : 63,396.36 = 11,097 : x
  2. Step 2: Convert to fraction form
    42,261.84/63,396.36 = 11,097/x
  3. Step 3: Cross multiply
    42,261.84x = 63,396.36 × 11,097
  4. Step 4: Simplify right side
    42,261.84x = 703,509,406.92
  5. Step 5: Solve for x
    x = 703,509,406.92/42,261.84
  6. Step 6: Final answer
    x = 16,646.45

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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.