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Finding the Fourth Proportional to 14,694, 22,035.52 and 4,830.63

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Solution

The fourth proportional to 14,694, 22,035.52 and 4,830.63 is: 7,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694 : 22,035.52 = 4,830.63 : x
  2. Step 2: Convert to fraction form
    14,694/22,035.52 = 4,830.63/x
  3. Step 3: Cross multiply
    14,694x = 22,035.52 × 4,830.63
  4. Step 4: Simplify right side
    14,694x = 106,445,443.98
  5. Step 5: Solve for x
    x = 106,445,443.98/14,694
  6. Step 6: Final answer
    x = 7,244.14

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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.