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Finding the Fourth Proportional to 17,807.94, 24,575.63 and 9,849.99

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Solution

The fourth proportional to 17,807.94, 24,575.63 and 9,849.99 is: 13,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.94 : 24,575.63 = 9,849.99 : x
  2. Step 2: Convert to fraction form
    17,807.94/24,575.63 = 9,849.99/x
  3. Step 3: Cross multiply
    17,807.94x = 24,575.63 × 9,849.99
  4. Step 4: Simplify right side
    17,807.94x = 242,069,709.74
  5. Step 5: Solve for x
    x = 242,069,709.74/17,807.94
  6. Step 6: Final answer
    x = 13,593.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.