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Finding the Fourth Proportional to 13,084.50, 19,600.02 and 10,886.16

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Solution

The fourth proportional to 13,084.50, 19,600.02 and 10,886.16 is: 16,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.50 : 19,600.02 = 10,886.16 : x
  2. Step 2: Convert to fraction form
    13,084.50/19,600.02 = 10,886.16/x
  3. Step 3: Cross multiply
    13,084.50x = 19,600.02 × 10,886.16
  4. Step 4: Simplify right side
    13,084.50x = 213,368,953.72
  5. Step 5: Solve for x
    x = 213,368,953.72/13,084.50
  6. Step 6: Final answer
    x = 16,307.00

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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.