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Finding the Fourth Proportional to 12,284.56, 16,946.34 and 8,307.10

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Solution

The fourth proportional to 12,284.56, 16,946.34 and 8,307.10 is: 11,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.56 : 16,946.34 = 8,307.10 : x
  2. Step 2: Convert to fraction form
    12,284.56/16,946.34 = 8,307.10/x
  3. Step 3: Cross multiply
    12,284.56x = 16,946.34 × 8,307.10
  4. Step 4: Simplify right side
    12,284.56x = 140,774,941.01
  5. Step 5: Solve for x
    x = 140,774,941.01/12,284.56
  6. Step 6: Final answer
    x = 11,459.50

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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.