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Finding the Fourth Proportional to 15,598, 23,390.34 and 9,028.72

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Solution

The fourth proportional to 15,598, 23,390.34 and 9,028.72 is: 13,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598 : 23,390.34 = 9,028.72 : x
  2. Step 2: Convert to fraction form
    15,598/23,390.34 = 9,028.72/x
  3. Step 3: Cross multiply
    15,598x = 23,390.34 × 9,028.72
  4. Step 4: Simplify right side
    15,598x = 211,184,830.56
  5. Step 5: Solve for x
    x = 211,184,830.56/15,598
  6. Step 6: Final answer
    x = 13,539.22

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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.