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Finding the Fourth Proportional to 24,534, 33,860.76 and 14,603.76

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Solution

The fourth proportional to 24,534, 33,860.76 and 14,603.76 is: 20,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 33,860.76 = 14,603.76 : x
  2. Step 2: Convert to fraction form
    24,534/33,860.76 = 14,603.76/x
  3. Step 3: Cross multiply
    24,534x = 33,860.76 × 14,603.76
  4. Step 4: Simplify right side
    24,534x = 494,494,412.46
  5. Step 5: Solve for x
    x = 494,494,412.46/24,534
  6. Step 6: Final answer
    x = 20,155.47

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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.