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Finding the Fourth Proportional to 21,746, 30,009.84 and 11,810

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Solution

The fourth proportional to 21,746, 30,009.84 and 11,810 is: 16,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746 : 30,009.84 = 11,810 : x
  2. Step 2: Convert to fraction form
    21,746/30,009.84 = 11,810/x
  3. Step 3: Cross multiply
    21,746x = 30,009.84 × 11,810
  4. Step 4: Simplify right side
    21,746x = 354,416,210.40
  5. Step 5: Solve for x
    x = 354,416,210.40/21,746
  6. Step 6: Final answer
    x = 16,298.00

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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.