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Finding the Fourth Proportional to 24,547.12, 33,875.04 and 13,369.12

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Solution

The fourth proportional to 24,547.12, 33,875.04 and 13,369.12 is: 18,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.12 : 33,875.04 = 13,369.12 : x
  2. Step 2: Convert to fraction form
    24,547.12/33,875.04 = 13,369.12/x
  3. Step 3: Cross multiply
    24,547.12x = 33,875.04 × 13,369.12
  4. Step 4: Simplify right side
    24,547.12x = 452,879,474.76
  5. Step 5: Solve for x
    x = 452,879,474.76/24,547.12
  6. Step 6: Final answer
    x = 18,449.39

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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.