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Finding the Fourth Proportional to 13,058.80, 19,554.98 and 7,209

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Solution

The fourth proportional to 13,058.80, 19,554.98 and 7,209 is: 10,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.80 : 19,554.98 = 7,209 : x
  2. Step 2: Convert to fraction form
    13,058.80/19,554.98 = 7,209/x
  3. Step 3: Cross multiply
    13,058.80x = 19,554.98 × 7,209
  4. Step 4: Simplify right side
    13,058.80x = 140,971,850.82
  5. Step 5: Solve for x
    x = 140,971,850.82/13,058.80
  6. Step 6: Final answer
    x = 10,795.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.