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Finding the Fourth Proportional to 14,357.83, 19,813.71 and 7,984.33

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Solution

The fourth proportional to 14,357.83, 19,813.71 and 7,984.33 is: 11,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.83 : 19,813.71 = 7,984.33 : x
  2. Step 2: Convert to fraction form
    14,357.83/19,813.71 = 7,984.33/x
  3. Step 3: Cross multiply
    14,357.83x = 19,813.71 × 7,984.33
  4. Step 4: Simplify right side
    14,357.83x = 158,199,199.16
  5. Step 5: Solve for x
    x = 158,199,199.16/14,357.83
  6. Step 6: Final answer
    x = 11,018.32

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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.