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Finding the Fourth Proportional to 23,045.63, 34,597.61 and 14,139.07

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Solution

The fourth proportional to 23,045.63, 34,597.61 and 14,139.07 is: 21,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.63 : 34,597.61 = 14,139.07 : x
  2. Step 2: Convert to fraction form
    23,045.63/34,597.61 = 14,139.07/x
  3. Step 3: Cross multiply
    23,045.63x = 34,597.61 × 14,139.07
  4. Step 4: Simplify right side
    23,045.63x = 489,177,978.48
  5. Step 5: Solve for x
    x = 489,177,978.48/23,045.63
  6. Step 6: Final answer
    x = 21,226.50

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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.