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Finding the Fourth Proportional to 15,434.16, 23,154.96 and 5,046

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Solution

The fourth proportional to 15,434.16, 23,154.96 and 5,046 is: 7,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434.16 : 23,154.96 = 5,046 : x
  2. Step 2: Convert to fraction form
    15,434.16/23,154.96 = 5,046/x
  3. Step 3: Cross multiply
    15,434.16x = 23,154.96 × 5,046
  4. Step 4: Simplify right side
    15,434.16x = 116,839,928.16
  5. Step 5: Solve for x
    x = 116,839,928.16/15,434.16
  6. Step 6: Final answer
    x = 7,570.22

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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.