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Finding the Fourth Proportional to 19,654, 29,485.86 and 6,507.70

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Solution

The fourth proportional to 19,654, 29,485.86 and 6,507.70 is: 9,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654 : 29,485.86 = 6,507.70 : x
  2. Step 2: Convert to fraction form
    19,654/29,485.86 = 6,507.70/x
  3. Step 3: Cross multiply
    19,654x = 29,485.86 × 6,507.70
  4. Step 4: Simplify right side
    19,654x = 191,885,131.12
  5. Step 5: Solve for x
    x = 191,885,131.12/19,654
  6. Step 6: Final answer
    x = 9,763.16

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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.