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Finding the Fourth Proportional to 12,409.76, 18,607.44 and 5,008.16

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Solution

The fourth proportional to 12,409.76, 18,607.44 and 5,008.16 is: 7,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.76 : 18,607.44 = 5,008.16 : x
  2. Step 2: Convert to fraction form
    12,409.76/18,607.44 = 5,008.16/x
  3. Step 3: Cross multiply
    12,409.76x = 18,607.44 × 5,008.16
  4. Step 4: Simplify right side
    12,409.76x = 93,189,036.71
  5. Step 5: Solve for x
    x = 93,189,036.71/12,409.76
  6. Step 6: Final answer
    x = 7,509.33

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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.