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Finding the Fourth Proportional to 20,617, 30,925.71 and 5,034.63

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Solution

The fourth proportional to 20,617, 30,925.71 and 5,034.63 is: 7,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617 : 30,925.71 = 5,034.63 : x
  2. Step 2: Convert to fraction form
    20,617/30,925.71 = 5,034.63/x
  3. Step 3: Cross multiply
    20,617x = 30,925.71 × 5,034.63
  4. Step 4: Simplify right side
    20,617x = 155,699,507.34
  5. Step 5: Solve for x
    x = 155,699,507.34/20,617
  6. Step 6: Final answer
    x = 7,552.00

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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.