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Finding the Fourth Proportional to 15,678.36, 23,509.04 and 5,145.93

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Solution

The fourth proportional to 15,678.36, 23,509.04 and 5,145.93 is: 7,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.36 : 23,509.04 = 5,145.93 : x
  2. Step 2: Convert to fraction form
    15,678.36/23,509.04 = 5,145.93/x
  3. Step 3: Cross multiply
    15,678.36x = 23,509.04 × 5,145.93
  4. Step 4: Simplify right side
    15,678.36x = 120,975,848.48
  5. Step 5: Solve for x
    x = 120,975,848.48/15,678.36
  6. Step 6: Final answer
    x = 7,716.10

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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.