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Finding the Fourth Proportional to 16,298.98, 24,415.64 and 11,307.14

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Solution

The fourth proportional to 16,298.98, 24,415.64 and 11,307.14 is: 16,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.98 : 24,415.64 = 11,307.14 : x
  2. Step 2: Convert to fraction form
    16,298.98/24,415.64 = 11,307.14/x
  3. Step 3: Cross multiply
    16,298.98x = 24,415.64 × 11,307.14
  4. Step 4: Simplify right side
    16,298.98x = 276,071,059.67
  5. Step 5: Solve for x
    x = 276,071,059.67/16,298.98
  6. Step 6: Final answer
    x = 16,937.93

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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.