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Finding the Fourth Proportional to 15,373.70, 23,066 and 7,587.98

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Solution

The fourth proportional to 15,373.70, 23,066 and 7,587.98 is: 11,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,373.70 : 23,066 = 7,587.98 : x
  2. Step 2: Convert to fraction form
    15,373.70/23,066 = 7,587.98/x
  3. Step 3: Cross multiply
    15,373.70x = 23,066 × 7,587.98
  4. Step 4: Simplify right side
    15,373.70x = 175,024,346.68
  5. Step 5: Solve for x
    x = 175,024,346.68/15,373.70
  6. Step 6: Final answer
    x = 11,384.66

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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.