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Finding the Fourth Proportional to 23,368, 35,052.24 and 6,952

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Solution

The fourth proportional to 23,368, 35,052.24 and 6,952 is: 10,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,368 : 35,052.24 = 6,952 : x
  2. Step 2: Convert to fraction form
    23,368/35,052.24 = 6,952/x
  3. Step 3: Cross multiply
    23,368x = 35,052.24 × 6,952
  4. Step 4: Simplify right side
    23,368x = 243,683,172.48
  5. Step 5: Solve for x
    x = 243,683,172.48/23,368
  6. Step 6: Final answer
    x = 10,428.07

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Why These Related Problems?

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