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Finding the Fourth Proportional to 15,533.78, 21,436.26 and 8,460.05

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Solution

The fourth proportional to 15,533.78, 21,436.26 and 8,460.05 is: 11,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.78 : 21,436.26 = 8,460.05 : x
  2. Step 2: Convert to fraction form
    15,533.78/21,436.26 = 8,460.05/x
  3. Step 3: Cross multiply
    15,533.78x = 21,436.26 × 8,460.05
  4. Step 4: Simplify right side
    15,533.78x = 181,351,831.41
  5. Step 5: Solve for x
    x = 181,351,831.41/15,533.78
  6. Step 6: Final answer
    x = 11,674.67

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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.