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Finding the Fourth Proportional to 13,000.89, 19,463.06 and 8,054.63

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Solution

The fourth proportional to 13,000.89, 19,463.06 and 8,054.63 is: 12,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.89 : 19,463.06 = 8,054.63 : x
  2. Step 2: Convert to fraction form
    13,000.89/19,463.06 = 8,054.63/x
  3. Step 3: Cross multiply
    13,000.89x = 19,463.06 × 8,054.63
  4. Step 4: Simplify right side
    13,000.89x = 156,767,746.97
  5. Step 5: Solve for x
    x = 156,767,746.97/13,000.89
  6. Step 6: Final answer
    x = 12,058.23

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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.