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Finding the Fourth Proportional to 15,786, 21,784.95 and 10,206.72

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Solution

The fourth proportional to 15,786, 21,784.95 and 10,206.72 is: 14,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 21,784.95 = 10,206.72 : x
  2. Step 2: Convert to fraction form
    15,786/21,784.95 = 10,206.72/x
  3. Step 3: Cross multiply
    15,786x = 21,784.95 × 10,206.72
  4. Step 4: Simplify right side
    15,786x = 222,352,884.86
  5. Step 5: Solve for x
    x = 222,352,884.86/15,786
  6. Step 6: Final answer
    x = 14,085.45

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