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Finding the Fourth Proportional to 21,383.91, 29,509.47 and 12,434.61

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Solution

The fourth proportional to 21,383.91, 29,509.47 and 12,434.61 is: 17,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.91 : 29,509.47 = 12,434.61 : x
  2. Step 2: Convert to fraction form
    21,383.91/29,509.47 = 12,434.61/x
  3. Step 3: Cross multiply
    21,383.91x = 29,509.47 × 12,434.61
  4. Step 4: Simplify right side
    21,383.91x = 366,938,750.76
  5. Step 5: Solve for x
    x = 366,938,750.76/21,383.91
  6. Step 6: Final answer
    x = 17,159.57

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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.