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Finding the Fourth Proportional to 21,530.58, 29,712.54 and 12,099.14

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Solution

The fourth proportional to 21,530.58, 29,712.54 and 12,099.14 is: 16,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.58 : 29,712.54 = 12,099.14 : x
  2. Step 2: Convert to fraction form
    21,530.58/29,712.54 = 12,099.14/x
  3. Step 3: Cross multiply
    21,530.58x = 29,712.54 × 12,099.14
  4. Step 4: Simplify right side
    21,530.58x = 359,496,181.22
  5. Step 5: Solve for x
    x = 359,496,181.22/21,530.58
  6. Step 6: Final answer
    x = 16,697.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.