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Finding the Fourth Proportional to 12,973.32, 19,463.08 and 4,208.26

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Solution

The fourth proportional to 12,973.32, 19,463.08 and 4,208.26 is: 6,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.32 : 19,463.08 = 4,208.26 : x
  2. Step 2: Convert to fraction form
    12,973.32/19,463.08 = 4,208.26/x
  3. Step 3: Cross multiply
    12,973.32x = 19,463.08 × 4,208.26
  4. Step 4: Simplify right side
    12,973.32x = 81,905,701.04
  5. Step 5: Solve for x
    x = 81,905,701.04/12,973.32
  6. Step 6: Final answer
    x = 6,313.40

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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.