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Finding the Fourth Proportional to 14,894.01, 22,345.70 and 6,133.05

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Solution

The fourth proportional to 14,894.01, 22,345.70 and 6,133.05 is: 9,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.01 : 22,345.70 = 6,133.05 : x
  2. Step 2: Convert to fraction form
    14,894.01/22,345.70 = 6,133.05/x
  3. Step 3: Cross multiply
    14,894.01x = 22,345.70 × 6,133.05
  4. Step 4: Simplify right side
    14,894.01x = 137,047,264.72
  5. Step 5: Solve for x
    x = 137,047,264.72/14,894.01
  6. Step 6: Final answer
    x = 9,201.50

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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.