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Finding the Fourth Proportional to 25,355.04, 38,030.16 and 7,820.16

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Solution

The fourth proportional to 25,355.04, 38,030.16 and 7,820.16 is: 11,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,355.04 : 38,030.16 = 7,820.16 : x
  2. Step 2: Convert to fraction form
    25,355.04/38,030.16 = 7,820.16/x
  3. Step 3: Cross multiply
    25,355.04x = 38,030.16 × 7,820.16
  4. Step 4: Simplify right side
    25,355.04x = 297,401,936.03
  5. Step 5: Solve for x
    x = 297,401,936.03/25,355.04
  6. Step 6: Final answer
    x = 11,729.50

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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.