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Finding the Fourth Proportional to 24,310.50, 33,547.65 and 13,699.50

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Solution

The fourth proportional to 24,310.50, 33,547.65 and 13,699.50 is: 18,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.50 : 33,547.65 = 13,699.50 : x
  2. Step 2: Convert to fraction form
    24,310.50/33,547.65 = 13,699.50/x
  3. Step 3: Cross multiply
    24,310.50x = 33,547.65 × 13,699.50
  4. Step 4: Simplify right side
    24,310.50x = 459,586,031.18
  5. Step 5: Solve for x
    x = 459,586,031.18/24,310.50
  6. Step 6: Final answer
    x = 18,904.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.