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Finding the Fourth Proportional to 13,456.48, 18,569.78 and 7,488

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Solution

The fourth proportional to 13,456.48, 18,569.78 and 7,488 is: 10,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.48 : 18,569.78 = 7,488 : x
  2. Step 2: Convert to fraction form
    13,456.48/18,569.78 = 7,488/x
  3. Step 3: Cross multiply
    13,456.48x = 18,569.78 × 7,488
  4. Step 4: Simplify right side
    13,456.48x = 139,050,512.64
  5. Step 5: Solve for x
    x = 139,050,512.64/13,456.48
  6. Step 6: Final answer
    x = 10,333.35

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