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Finding the Fourth Proportional to 13,875.76, 19,148.34 and 8,285.68

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Solution

The fourth proportional to 13,875.76, 19,148.34 and 8,285.68 is: 11,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.76 : 19,148.34 = 8,285.68 : x
  2. Step 2: Convert to fraction form
    13,875.76/19,148.34 = 8,285.68/x
  3. Step 3: Cross multiply
    13,875.76x = 19,148.34 × 8,285.68
  4. Step 4: Simplify right side
    13,875.76x = 158,657,017.77
  5. Step 5: Solve for x
    x = 158,657,017.77/13,875.76
  6. Step 6: Final answer
    x = 11,434.11

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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.