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Finding the Fourth Proportional to 30,657.47, 42,307.47 and 17,911.40

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Solution

The fourth proportional to 30,657.47, 42,307.47 and 17,911.40 is: 24,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.47 : 42,307.47 = 17,911.40 : x
  2. Step 2: Convert to fraction form
    30,657.47/42,307.47 = 17,911.40/x
  3. Step 3: Cross multiply
    30,657.47x = 42,307.47 × 17,911.40
  4. Step 4: Simplify right side
    30,657.47x = 757,785,806.62
  5. Step 5: Solve for x
    x = 757,785,806.62/30,657.47
  6. Step 6: Final answer
    x = 24,717.82

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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.