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Finding the Fourth Proportional to 12,886.12, 19,328.54 and 7,552.26

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Solution

The fourth proportional to 12,886.12, 19,328.54 and 7,552.26 is: 11,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.12 : 19,328.54 = 7,552.26 : x
  2. Step 2: Convert to fraction form
    12,886.12/19,328.54 = 7,552.26/x
  3. Step 3: Cross multiply
    12,886.12x = 19,328.54 × 7,552.26
  4. Step 4: Simplify right side
    12,886.12x = 145,974,159.50
  5. Step 5: Solve for x
    x = 145,974,159.50/12,886.12
  6. Step 6: Final answer
    x = 11,328.01

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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.