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Finding the Fourth Proportional to 19,255.16, 28,875.45 and 7,562

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Solution

The fourth proportional to 19,255.16, 28,875.45 and 7,562 is: 11,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,255.16 : 28,875.45 = 7,562 : x
  2. Step 2: Convert to fraction form
    19,255.16/28,875.45 = 7,562/x
  3. Step 3: Cross multiply
    19,255.16x = 28,875.45 × 7,562
  4. Step 4: Simplify right side
    19,255.16x = 218,356,152.90
  5. Step 5: Solve for x
    x = 218,356,152.90/19,255.16
  6. Step 6: Final answer
    x = 11,340.14

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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.