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Finding the Fourth Proportional to 14,659.70, 21,985.30 and 4,129

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Solution

The fourth proportional to 14,659.70, 21,985.30 and 4,129 is: 6,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.70 : 21,985.30 = 4,129 : x
  2. Step 2: Convert to fraction form
    14,659.70/21,985.30 = 4,129/x
  3. Step 3: Cross multiply
    14,659.70x = 21,985.30 × 4,129
  4. Step 4: Simplify right side
    14,659.70x = 90,777,303.70
  5. Step 5: Solve for x
    x = 90,777,303.70/14,659.70
  6. Step 6: Final answer
    x = 6,192.30

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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.