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Finding the Fourth Proportional to 16,567.21, 22,854.70 and 9,848.08

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Solution

The fourth proportional to 16,567.21, 22,854.70 and 9,848.08 is: 13,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.21 : 22,854.70 = 9,848.08 : x
  2. Step 2: Convert to fraction form
    16,567.21/22,854.70 = 9,848.08/x
  3. Step 3: Cross multiply
    16,567.21x = 22,854.70 × 9,848.08
  4. Step 4: Simplify right side
    16,567.21x = 225,074,913.98
  5. Step 5: Solve for x
    x = 225,074,913.98/16,567.21
  6. Step 6: Final answer
    x = 13,585.57

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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.