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Finding the Fourth Proportional to 21,148.08, 31,725 and 7,298.16

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Solution

The fourth proportional to 21,148.08, 31,725 and 7,298.16 is: 10,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.08 : 31,725 = 7,298.16 : x
  2. Step 2: Convert to fraction form
    21,148.08/31,725 = 7,298.16/x
  3. Step 3: Cross multiply
    21,148.08x = 31,725 × 7,298.16
  4. Step 4: Simplify right side
    21,148.08x = 231,534,126
  5. Step 5: Solve for x
    x = 231,534,126/21,148.08
  6. Step 6: Final answer
    x = 10,948.23

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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.