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Finding the Fourth Proportional to 15,567.96, 21,482.64 and 8,494.22

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Solution

The fourth proportional to 15,567.96, 21,482.64 and 8,494.22 is: 11,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567.96 : 21,482.64 = 8,494.22 : x
  2. Step 2: Convert to fraction form
    15,567.96/21,482.64 = 8,494.22/x
  3. Step 3: Cross multiply
    15,567.96x = 21,482.64 × 8,494.22
  4. Step 4: Simplify right side
    15,567.96x = 182,478,270.34
  5. Step 5: Solve for x
    x = 182,478,270.34/15,567.96
  6. Step 6: Final answer
    x = 11,721.40

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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.