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Finding the Fourth Proportional to 15,851.44, 21,875.16 and 8,778

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Solution

The fourth proportional to 15,851.44, 21,875.16 and 8,778 is: 12,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.44 : 21,875.16 = 8,778 : x
  2. Step 2: Convert to fraction form
    15,851.44/21,875.16 = 8,778/x
  3. Step 3: Cross multiply
    15,851.44x = 21,875.16 × 8,778
  4. Step 4: Simplify right side
    15,851.44x = 192,020,154.48
  5. Step 5: Solve for x
    x = 192,020,154.48/15,851.44
  6. Step 6: Final answer
    x = 12,113.74

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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.