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Finding the Fourth Proportional to 12,678.16, 19,019.50 and 4,356.02

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Solution

The fourth proportional to 12,678.16, 19,019.50 and 4,356.02 is: 6,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.16 : 19,019.50 = 4,356.02 : x
  2. Step 2: Convert to fraction form
    12,678.16/19,019.50 = 4,356.02/x
  3. Step 3: Cross multiply
    12,678.16x = 19,019.50 × 4,356.02
  4. Step 4: Simplify right side
    12,678.16x = 82,849,322.39
  5. Step 5: Solve for x
    x = 82,849,322.39/12,678.16
  6. Step 6: Final answer
    x = 6,534.81

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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.