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Finding the Fourth Proportional to 19,762.25, 29,641.18 and 4,971.16

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Solution

The fourth proportional to 19,762.25, 29,641.18 and 4,971.16 is: 7,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.25 : 29,641.18 = 4,971.16 : x
  2. Step 2: Convert to fraction form
    19,762.25/29,641.18 = 4,971.16/x
  3. Step 3: Cross multiply
    19,762.25x = 29,641.18 × 4,971.16
  4. Step 4: Simplify right side
    19,762.25x = 147,351,082.31
  5. Step 5: Solve for x
    x = 147,351,082.31/19,762.25
  6. Step 6: Final answer
    x = 7,456.19

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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.