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Finding the Fourth Proportional to 14,553, 21,830.40 and 4,165.56

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Solution

The fourth proportional to 14,553, 21,830.40 and 4,165.56 is: 6,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553 : 21,830.40 = 4,165.56 : x
  2. Step 2: Convert to fraction form
    14,553/21,830.40 = 4,165.56/x
  3. Step 3: Cross multiply
    14,553x = 21,830.40 × 4,165.56
  4. Step 4: Simplify right side
    14,553x = 90,935,841.02
  5. Step 5: Solve for x
    x = 90,935,841.02/14,553
  6. Step 6: Final answer
    x = 6,248.60

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