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Finding the Fourth Proportional to 21,420.84, 32,124.76 and 7,378.40

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Solution

The fourth proportional to 21,420.84, 32,124.76 and 7,378.40 is: 11,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.84 : 32,124.76 = 7,378.40 : x
  2. Step 2: Convert to fraction form
    21,420.84/32,124.76 = 7,378.40/x
  3. Step 3: Cross multiply
    21,420.84x = 32,124.76 × 7,378.40
  4. Step 4: Simplify right side
    21,420.84x = 237,029,329.18
  5. Step 5: Solve for x
    x = 237,029,329.18/21,420.84
  6. Step 6: Final answer
    x = 11,065.36

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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.