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Finding the Fourth Proportional to 14,188.96, 21,275.76 and 4,948

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Solution

The fourth proportional to 14,188.96, 21,275.76 and 4,948 is: 7,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.96 : 21,275.76 = 4,948 : x
  2. Step 2: Convert to fraction form
    14,188.96/21,275.76 = 4,948/x
  3. Step 3: Cross multiply
    14,188.96x = 21,275.76 × 4,948
  4. Step 4: Simplify right side
    14,188.96x = 105,272,460.48
  5. Step 5: Solve for x
    x = 105,272,460.48/14,188.96
  6. Step 6: Final answer
    x = 7,419.32

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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.