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Finding the Fourth Proportional to 12,746.05, 17,597.54 and 8,210.76

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Solution

The fourth proportional to 12,746.05, 17,597.54 and 8,210.76 is: 11,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.05 : 17,597.54 = 8,210.76 : x
  2. Step 2: Convert to fraction form
    12,746.05/17,597.54 = 8,210.76/x
  3. Step 3: Cross multiply
    12,746.05x = 17,597.54 × 8,210.76
  4. Step 4: Simplify right side
    12,746.05x = 144,489,177.53
  5. Step 5: Solve for x
    x = 144,489,177.53/12,746.05
  6. Step 6: Final answer
    x = 11,336.00

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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.