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Finding the Fourth Proportional to 14,117.60, 19,483.48 and 7,832

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Solution

The fourth proportional to 14,117.60, 19,483.48 and 7,832 is: 10,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.60 : 19,483.48 = 7,832 : x
  2. Step 2: Convert to fraction form
    14,117.60/19,483.48 = 7,832/x
  3. Step 3: Cross multiply
    14,117.60x = 19,483.48 × 7,832
  4. Step 4: Simplify right side
    14,117.60x = 152,594,615.36
  5. Step 5: Solve for x
    x = 152,594,615.36/14,117.60
  6. Step 6: Final answer
    x = 10,808.82

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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.