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Finding the Fourth Proportional to 14,774.64, 22,161.76 and 3,681.42

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Solution

The fourth proportional to 14,774.64, 22,161.76 and 3,681.42 is: 5,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.64 : 22,161.76 = 3,681.42 : x
  2. Step 2: Convert to fraction form
    14,774.64/22,161.76 = 3,681.42/x
  3. Step 3: Cross multiply
    14,774.64x = 22,161.76 × 3,681.42
  4. Step 4: Simplify right side
    14,774.64x = 81,586,746.50
  5. Step 5: Solve for x
    x = 81,586,746.50/14,774.64
  6. Step 6: Final answer
    x = 5,522.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.