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Finding the Fourth Proportional to 12,900.83, 17,803.28 and 7,235.78

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Solution

The fourth proportional to 12,900.83, 17,803.28 and 7,235.78 is: 9,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.83 : 17,803.28 = 7,235.78 : x
  2. Step 2: Convert to fraction form
    12,900.83/17,803.28 = 7,235.78/x
  3. Step 3: Cross multiply
    12,900.83x = 17,803.28 × 7,235.78
  4. Step 4: Simplify right side
    12,900.83x = 128,820,581.18
  5. Step 5: Solve for x
    x = 128,820,581.18/12,900.83
  6. Step 6: Final answer
    x = 9,985.45

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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.