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Finding the Fourth Proportional to 13,875.70, 19,148.62 and 7,588.06

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Solution

The fourth proportional to 13,875.70, 19,148.62 and 7,588.06 is: 10,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.70 : 19,148.62 = 7,588.06 : x
  2. Step 2: Convert to fraction form
    13,875.70/19,148.62 = 7,588.06/x
  3. Step 3: Cross multiply
    13,875.70x = 19,148.62 × 7,588.06
  4. Step 4: Simplify right side
    13,875.70x = 145,300,877.48
  5. Step 5: Solve for x
    x = 145,300,877.48/13,875.70
  6. Step 6: Final answer
    x = 10,471.61

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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.