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Finding the Fourth Proportional to 19,145.54, 28,718.32 and 8,750

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Solution

The fourth proportional to 19,145.54, 28,718.32 and 8,750 is: 13,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,145.54 : 28,718.32 = 8,750 : x
  2. Step 2: Convert to fraction form
    19,145.54/28,718.32 = 8,750/x
  3. Step 3: Cross multiply
    19,145.54x = 28,718.32 × 8,750
  4. Step 4: Simplify right side
    19,145.54x = 251,285,300
  5. Step 5: Solve for x
    x = 251,285,300/19,145.54
  6. Step 6: Final answer
    x = 13,125.00

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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.