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Finding the Fourth Proportional to 14,465.48, 19,962.42 and 9,154.76

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Solution

The fourth proportional to 14,465.48, 19,962.42 and 9,154.76 is: 12,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.48 : 19,962.42 = 9,154.76 : x
  2. Step 2: Convert to fraction form
    14,465.48/19,962.42 = 9,154.76/x
  3. Step 3: Cross multiply
    14,465.48x = 19,962.42 × 9,154.76
  4. Step 4: Simplify right side
    14,465.48x = 182,751,164.12
  5. Step 5: Solve for x
    x = 182,751,164.12/14,465.48
  6. Step 6: Final answer
    x = 12,633.61

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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.