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Finding the Fourth Proportional to 13,440, 18,547.28 and 7,849.92

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Solution

The fourth proportional to 13,440, 18,547.28 and 7,849.92 is: 10,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440 : 18,547.28 = 7,849.92 : x
  2. Step 2: Convert to fraction form
    13,440/18,547.28 = 7,849.92/x
  3. Step 3: Cross multiply
    13,440x = 18,547.28 × 7,849.92
  4. Step 4: Simplify right side
    13,440x = 145,594,664.22
  5. Step 5: Solve for x
    x = 145,594,664.22/13,440
  6. Step 6: Final answer
    x = 10,832.94

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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.