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Finding the Fourth Proportional to 12,569.16, 18,844.02 and 8,409

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Solution

The fourth proportional to 12,569.16, 18,844.02 and 8,409 is: 12,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.16 : 18,844.02 = 8,409 : x
  2. Step 2: Convert to fraction form
    12,569.16/18,844.02 = 8,409/x
  3. Step 3: Cross multiply
    12,569.16x = 18,844.02 × 8,409
  4. Step 4: Simplify right side
    12,569.16x = 158,459,364.18
  5. Step 5: Solve for x
    x = 158,459,364.18/12,569.16
  6. Step 6: Final answer
    x = 12,607.00

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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.