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Finding the Fourth Proportional to 30,007.56, 45,013.67 and 8,946

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Solution

The fourth proportional to 30,007.56, 45,013.67 and 8,946 is: 13,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.56 : 45,013.67 = 8,946 : x
  2. Step 2: Convert to fraction form
    30,007.56/45,013.67 = 8,946/x
  3. Step 3: Cross multiply
    30,007.56x = 45,013.67 × 8,946
  4. Step 4: Simplify right side
    30,007.56x = 402,692,291.82
  5. Step 5: Solve for x
    x = 402,692,291.82/30,007.56
  6. Step 6: Final answer
    x = 13,419.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.