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Finding the Fourth Proportional to 15,800.16, 23,686.35 and 6,448.05

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Solution

The fourth proportional to 15,800.16, 23,686.35 and 6,448.05 is: 9,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.16 : 23,686.35 = 6,448.05 : x
  2. Step 2: Convert to fraction form
    15,800.16/23,686.35 = 6,448.05/x
  3. Step 3: Cross multiply
    15,800.16x = 23,686.35 × 6,448.05
  4. Step 4: Simplify right side
    15,800.16x = 152,730,769.12
  5. Step 5: Solve for x
    x = 152,730,769.12/15,800.16
  6. Step 6: Final answer
    x = 9,666.41

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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.