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Finding the Fourth Proportional to 21,454.81, 32,186.55 and 7,415.35

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Solution

The fourth proportional to 21,454.81, 32,186.55 and 7,415.35 is: 11,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.81 : 32,186.55 = 7,415.35 : x
  2. Step 2: Convert to fraction form
    21,454.81/32,186.55 = 7,415.35/x
  3. Step 3: Cross multiply
    21,454.81x = 32,186.55 × 7,415.35
  4. Step 4: Simplify right side
    21,454.81x = 238,674,533.54
  5. Step 5: Solve for x
    x = 238,674,533.54/21,454.81
  6. Step 6: Final answer
    x = 11,124.52

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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.