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Finding the Fourth Proportional to 17,106.48, 23,606.04 and 9,654

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Solution

The fourth proportional to 17,106.48, 23,606.04 and 9,654 is: 13,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.48 : 23,606.04 = 9,654 : x
  2. Step 2: Convert to fraction form
    17,106.48/23,606.04 = 9,654/x
  3. Step 3: Cross multiply
    17,106.48x = 23,606.04 × 9,654
  4. Step 4: Simplify right side
    17,106.48x = 227,892,710.16
  5. Step 5: Solve for x
    x = 227,892,710.16/17,106.48
  6. Step 6: Final answer
    x = 13,322.01

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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.