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Finding the Fourth Proportional to 13,529.84, 18,671.06 and 7,561.76

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Solution

The fourth proportional to 13,529.84, 18,671.06 and 7,561.76 is: 10,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.84 : 18,671.06 = 7,561.76 : x
  2. Step 2: Convert to fraction form
    13,529.84/18,671.06 = 7,561.76/x
  3. Step 3: Cross multiply
    13,529.84x = 18,671.06 × 7,561.76
  4. Step 4: Simplify right side
    13,529.84x = 141,185,957.68
  5. Step 5: Solve for x
    x = 141,185,957.68/13,529.84
  6. Step 6: Final answer
    x = 10,435.16

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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.