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Finding the Fourth Proportional to 12,987.40, 19,483.99 and 6,058.12

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Solution

The fourth proportional to 12,987.40, 19,483.99 and 6,058.12 is: 9,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.40 : 19,483.99 = 6,058.12 : x
  2. Step 2: Convert to fraction form
    12,987.40/19,483.99 = 6,058.12/x
  3. Step 3: Cross multiply
    12,987.40x = 19,483.99 × 6,058.12
  4. Step 4: Simplify right side
    12,987.40x = 118,036,349.50
  5. Step 5: Solve for x
    x = 118,036,349.50/12,987.40
  6. Step 6: Final answer
    x = 9,088.53

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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.