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Finding the Fourth Proportional to 14,646.76, 21,971.34 and 4,258.50

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Solution

The fourth proportional to 14,646.76, 21,971.34 and 4,258.50 is: 6,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.76 : 21,971.34 = 4,258.50 : x
  2. Step 2: Convert to fraction form
    14,646.76/21,971.34 = 4,258.50/x
  3. Step 3: Cross multiply
    14,646.76x = 21,971.34 × 4,258.50
  4. Step 4: Simplify right side
    14,646.76x = 93,564,951.39
  5. Step 5: Solve for x
    x = 93,564,951.39/14,646.76
  6. Step 6: Final answer
    x = 6,388.10

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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.