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Finding the Fourth Proportional to 19,509.66, 26,923.50 and 11,448.14

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Solution

The fourth proportional to 19,509.66, 26,923.50 and 11,448.14 is: 15,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.66 : 26,923.50 = 11,448.14 : x
  2. Step 2: Convert to fraction form
    19,509.66/26,923.50 = 11,448.14/x
  3. Step 3: Cross multiply
    19,509.66x = 26,923.50 × 11,448.14
  4. Step 4: Simplify right side
    19,509.66x = 308,223,901.36
  5. Step 5: Solve for x
    x = 308,223,901.36/19,509.66
  6. Step 6: Final answer
    x = 15,798.53

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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.