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Finding the Fourth Proportional to 16,386.66, 24,588 and 7,627.68

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Solution

The fourth proportional to 16,386.66, 24,588 and 7,627.68 is: 11,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.66 : 24,588 = 7,627.68 : x
  2. Step 2: Convert to fraction form
    16,386.66/24,588 = 7,627.68/x
  3. Step 3: Cross multiply
    16,386.66x = 24,588 × 7,627.68
  4. Step 4: Simplify right side
    16,386.66x = 187,549,395.84
  5. Step 5: Solve for x
    x = 187,549,395.84/16,386.66
  6. Step 6: Final answer
    x = 11,445.25

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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.