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Finding the Fourth Proportional to 23,547.76, 32,464.16 and 20,176

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Solution

The fourth proportional to 23,547.76, 32,464.16 and 20,176 is: 27,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.76 : 32,464.16 = 20,176 : x
  2. Step 2: Convert to fraction form
    23,547.76/32,464.16 = 20,176/x
  3. Step 3: Cross multiply
    23,547.76x = 32,464.16 × 20,176
  4. Step 4: Simplify right side
    23,547.76x = 654,996,892.16
  5. Step 5: Solve for x
    x = 654,996,892.16/23,547.76
  6. Step 6: Final answer
    x = 27,815.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.