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Finding the Fourth Proportional to 15,646.16, 23,477.88 and 6,410

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Solution

The fourth proportional to 15,646.16, 23,477.88 and 6,410 is: 9,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.16 : 23,477.88 = 6,410 : x
  2. Step 2: Convert to fraction form
    15,646.16/23,477.88 = 6,410/x
  3. Step 3: Cross multiply
    15,646.16x = 23,477.88 × 6,410
  4. Step 4: Simplify right side
    15,646.16x = 150,493,210.80
  5. Step 5: Solve for x
    x = 150,493,210.80/15,646.16
  6. Step 6: Final answer
    x = 9,618.54

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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.