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Finding the Fourth Proportional to 30,635.76, 42,277.32 and 17,207.40

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Solution

The fourth proportional to 30,635.76, 42,277.32 and 17,207.40 is: 23,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.76 : 42,277.32 = 17,207.40 : x
  2. Step 2: Convert to fraction form
    30,635.76/42,277.32 = 17,207.40/x
  3. Step 3: Cross multiply
    30,635.76x = 42,277.32 × 17,207.40
  4. Step 4: Simplify right side
    30,635.76x = 727,482,756.17
  5. Step 5: Solve for x
    x = 727,482,756.17/30,635.76
  6. Step 6: Final answer
    x = 23,746.20

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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.