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Finding the Fourth Proportional to 16,487, 24,733.60 and 6,627.06

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Solution

The fourth proportional to 16,487, 24,733.60 and 6,627.06 is: 9,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487 : 24,733.60 = 6,627.06 : x
  2. Step 2: Convert to fraction form
    16,487/24,733.60 = 6,627.06/x
  3. Step 3: Cross multiply
    16,487x = 24,733.60 × 6,627.06
  4. Step 4: Simplify right side
    16,487x = 163,911,051.22
  5. Step 5: Solve for x
    x = 163,911,051.22/16,487
  6. Step 6: Final answer
    x = 9,941.84

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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.