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Finding the Fourth Proportional to 14,099.42, 21,140.92 and 5,335

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Solution

The fourth proportional to 14,099.42, 21,140.92 and 5,335 is: 7,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.42 : 21,140.92 = 5,335 : x
  2. Step 2: Convert to fraction form
    14,099.42/21,140.92 = 5,335/x
  3. Step 3: Cross multiply
    14,099.42x = 21,140.92 × 5,335
  4. Step 4: Simplify right side
    14,099.42x = 112,786,808.20
  5. Step 5: Solve for x
    x = 112,786,808.20/14,099.42
  6. Step 6: Final answer
    x = 7,999.39

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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.