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Finding the Fourth Proportional to 35,772.84, 53,653.14 and 9,480.24

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Solution

The fourth proportional to 35,772.84, 53,653.14 and 9,480.24 is: 14,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772.84 : 53,653.14 = 9,480.24 : x
  2. Step 2: Convert to fraction form
    35,772.84/53,653.14 = 9,480.24/x
  3. Step 3: Cross multiply
    35,772.84x = 53,653.14 × 9,480.24
  4. Step 4: Simplify right side
    35,772.84x = 508,644,643.95
  5. Step 5: Solve for x
    x = 508,644,643.95/35,772.84
  6. Step 6: Final answer
    x = 14,218.74

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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.