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Finding the Fourth Proportional to 14,009.34, 21,014.14 and 6,592.70

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Solution

The fourth proportional to 14,009.34, 21,014.14 and 6,592.70 is: 9,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.34 : 21,014.14 = 6,592.70 : x
  2. Step 2: Convert to fraction form
    14,009.34/21,014.14 = 6,592.70/x
  3. Step 3: Cross multiply
    14,009.34x = 21,014.14 × 6,592.70
  4. Step 4: Simplify right side
    14,009.34x = 138,539,920.78
  5. Step 5: Solve for x
    x = 138,539,920.78/14,009.34
  6. Step 6: Final answer
    x = 9,889.11

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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.