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Finding the Fourth Proportional to 12,975.40, 19,463.10 and 4,210.20

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Solution

The fourth proportional to 12,975.40, 19,463.10 and 4,210.20 is: 6,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.40 : 19,463.10 = 4,210.20 : x
  2. Step 2: Convert to fraction form
    12,975.40/19,463.10 = 4,210.20/x
  3. Step 3: Cross multiply
    12,975.40x = 19,463.10 × 4,210.20
  4. Step 4: Simplify right side
    12,975.40x = 81,943,543.62
  5. Step 5: Solve for x
    x = 81,943,543.62/12,975.40
  6. Step 6: Final answer
    x = 6,315.30

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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.