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Finding the Fourth Proportional to 14,435.40, 19,924.62 and 9,412.08

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Solution

The fourth proportional to 14,435.40, 19,924.62 and 9,412.08 is: 12,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.40 : 19,924.62 = 9,412.08 : x
  2. Step 2: Convert to fraction form
    14,435.40/19,924.62 = 9,412.08/x
  3. Step 3: Cross multiply
    14,435.40x = 19,924.62 × 9,412.08
  4. Step 4: Simplify right side
    14,435.40x = 187,532,117.41
  5. Step 5: Solve for x
    x = 187,532,117.41/14,435.40
  6. Step 6: Final answer
    x = 12,991.13

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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.