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Finding the Fourth Proportional to 19,036.50, 26,270.46 and 10,653

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Solution

The fourth proportional to 19,036.50, 26,270.46 and 10,653 is: 14,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,036.50 : 26,270.46 = 10,653 : x
  2. Step 2: Convert to fraction form
    19,036.50/26,270.46 = 10,653/x
  3. Step 3: Cross multiply
    19,036.50x = 26,270.46 × 10,653
  4. Step 4: Simplify right side
    19,036.50x = 279,859,210.38
  5. Step 5: Solve for x
    x = 279,859,210.38/19,036.50
  6. Step 6: Final answer
    x = 14,701.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.