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Finding the Fourth Proportional to 42,441.12, 63,646.62 and 12,447

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Solution

The fourth proportional to 42,441.12, 63,646.62 and 12,447 is: 18,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,441.12 : 63,646.62 = 12,447 : x
  2. Step 2: Convert to fraction form
    42,441.12/63,646.62 = 12,447/x
  3. Step 3: Cross multiply
    42,441.12x = 63,646.62 × 12,447
  4. Step 4: Simplify right side
    42,441.12x = 792,209,479.14
  5. Step 5: Solve for x
    x = 792,209,479.14/42,441.12
  6. Step 6: Final answer
    x = 18,666.08

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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.