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Finding the Fourth Proportional to 14,598.00, 21,877.95 and 6,697.66

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Solution

The fourth proportional to 14,598.00, 21,877.95 and 6,697.66 is: 10,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.00 : 21,877.95 = 6,697.66 : x
  2. Step 2: Convert to fraction form
    14,598.00/21,877.95 = 6,697.66/x
  3. Step 3: Cross multiply
    14,598.00x = 21,877.95 × 6,697.66
  4. Step 4: Simplify right side
    14,598.00x = 146,531,070.60
  5. Step 5: Solve for x
    x = 146,531,070.60/14,598.00
  6. Step 6: Final answer
    x = 10,037.75

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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.