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Finding the Fourth Proportional to 14,594.88, 21,895.78 and 4,734.16

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Solution

The fourth proportional to 14,594.88, 21,895.78 and 4,734.16 is: 7,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.88 : 21,895.78 = 4,734.16 : x
  2. Step 2: Convert to fraction form
    14,594.88/21,895.78 = 4,734.16/x
  3. Step 3: Cross multiply
    14,594.88x = 21,895.78 × 4,734.16
  4. Step 4: Simplify right side
    14,594.88x = 103,658,125.84
  5. Step 5: Solve for x
    x = 103,658,125.84/14,594.88
  6. Step 6: Final answer
    x = 7,102.36

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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.