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Finding the Fourth Proportional to 14,365.51, 19,821.46 and 8,396.01

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Solution

The fourth proportional to 14,365.51, 19,821.46 and 8,396.01 is: 11,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.51 : 19,821.46 = 8,396.01 : x
  2. Step 2: Convert to fraction form
    14,365.51/19,821.46 = 8,396.01/x
  3. Step 3: Cross multiply
    14,365.51x = 19,821.46 × 8,396.01
  4. Step 4: Simplify right side
    14,365.51x = 166,421,176.37
  5. Step 5: Solve for x
    x = 166,421,176.37/14,365.51
  6. Step 6: Final answer
    x = 11,584.77

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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.