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Finding the Fourth Proportional to 14,014.34, 21,024 and 4,654.92

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Solution

The fourth proportional to 14,014.34, 21,024 and 4,654.92 is: 6,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.34 : 21,024 = 4,654.92 : x
  2. Step 2: Convert to fraction form
    14,014.34/21,024 = 4,654.92/x
  3. Step 3: Cross multiply
    14,014.34x = 21,024 × 4,654.92
  4. Step 4: Simplify right side
    14,014.34x = 97,865,038.08
  5. Step 5: Solve for x
    x = 97,865,038.08/14,014.34
  6. Step 6: Final answer
    x = 6,983.21

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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.