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Finding the Fourth Proportional to 12,598.34, 18,901.76 and 5,206.28

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Solution

The fourth proportional to 12,598.34, 18,901.76 and 5,206.28 is: 7,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.34 : 18,901.76 = 5,206.28 : x
  2. Step 2: Convert to fraction form
    12,598.34/18,901.76 = 5,206.28/x
  3. Step 3: Cross multiply
    12,598.34x = 18,901.76 × 5,206.28
  4. Step 4: Simplify right side
    12,598.34x = 98,407,734.51
  5. Step 5: Solve for x
    x = 98,407,734.51/12,598.34
  6. Step 6: Final answer
    x = 7,811.17

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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.