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Finding the Fourth Proportional to 15,534.99, 23,308.16 and 9,696.51

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Solution

The fourth proportional to 15,534.99, 23,308.16 and 9,696.51 is: 14,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.99 : 23,308.16 = 9,696.51 : x
  2. Step 2: Convert to fraction form
    15,534.99/23,308.16 = 9,696.51/x
  3. Step 3: Cross multiply
    15,534.99x = 23,308.16 × 9,696.51
  4. Step 4: Simplify right side
    15,534.99x = 226,007,758.04
  5. Step 5: Solve for x
    x = 226,007,758.04/15,534.99
  6. Step 6: Final answer
    x = 14,548.30

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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.