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Finding the Fourth Proportional to 13,886.56, 20,830.02 and 6,490

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Solution

The fourth proportional to 13,886.56, 20,830.02 and 6,490 is: 9,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.56 : 20,830.02 = 6,490 : x
  2. Step 2: Convert to fraction form
    13,886.56/20,830.02 = 6,490/x
  3. Step 3: Cross multiply
    13,886.56x = 20,830.02 × 6,490
  4. Step 4: Simplify right side
    13,886.56x = 135,186,829.80
  5. Step 5: Solve for x
    x = 135,186,829.80/13,886.56
  6. Step 6: Final answer
    x = 9,735.08

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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.