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Finding the Fourth Proportional to 13,875.75, 19,148.94 and 7,588.53

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Solution

The fourth proportional to 13,875.75, 19,148.94 and 7,588.53 is: 10,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.75 : 19,148.94 = 7,588.53 : x
  2. Step 2: Convert to fraction form
    13,875.75/19,148.94 = 7,588.53/x
  3. Step 3: Cross multiply
    13,875.75x = 19,148.94 × 7,588.53
  4. Step 4: Simplify right side
    13,875.75x = 145,312,305.66
  5. Step 5: Solve for x
    x = 145,312,305.66/13,875.75
  6. Step 6: Final answer
    x = 10,472.39

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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.