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Finding the Fourth Proportional to 19,875.60, 29,802.06 and 8,174.88

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Solution

The fourth proportional to 19,875.60, 29,802.06 and 8,174.88 is: 12,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.60 : 29,802.06 = 8,174.88 : x
  2. Step 2: Convert to fraction form
    19,875.60/29,802.06 = 8,174.88/x
  3. Step 3: Cross multiply
    19,875.60x = 29,802.06 × 8,174.88
  4. Step 4: Simplify right side
    19,875.60x = 243,628,264.25
  5. Step 5: Solve for x
    x = 243,628,264.25/19,875.60
  6. Step 6: Final answer
    x = 12,257.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.