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Finding the Fourth Proportional to 14,836.51, 20,476.01 and 9,459.14

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Solution

The fourth proportional to 14,836.51, 20,476.01 and 9,459.14 is: 13,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.51 : 20,476.01 = 9,459.14 : x
  2. Step 2: Convert to fraction form
    14,836.51/20,476.01 = 9,459.14/x
  3. Step 3: Cross multiply
    14,836.51x = 20,476.01 × 9,459.14
  4. Step 4: Simplify right side
    14,836.51x = 193,685,295.56
  5. Step 5: Solve for x
    x = 193,685,295.56/14,836.51
  6. Step 6: Final answer
    x = 13,054.64

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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.