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Finding the Fourth Proportional to 12,975.79, 19,466.42 and 4,210.01

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Solution

The fourth proportional to 12,975.79, 19,466.42 and 4,210.01 is: 6,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.79 : 19,466.42 = 4,210.01 : x
  2. Step 2: Convert to fraction form
    12,975.79/19,466.42 = 4,210.01/x
  3. Step 3: Cross multiply
    12,975.79x = 19,466.42 × 4,210.01
  4. Step 4: Simplify right side
    12,975.79x = 81,953,822.86
  5. Step 5: Solve for x
    x = 81,953,822.86/12,975.79
  6. Step 6: Final answer
    x = 6,315.90

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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.