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Finding the Fourth Proportional to 16,298.36, 22,472 and 13,776

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Solution

The fourth proportional to 16,298.36, 22,472 and 13,776 is: 18,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.36 : 22,472 = 13,776 : x
  2. Step 2: Convert to fraction form
    16,298.36/22,472 = 13,776/x
  3. Step 3: Cross multiply
    16,298.36x = 22,472 × 13,776
  4. Step 4: Simplify right side
    16,298.36x = 309,574,272
  5. Step 5: Solve for x
    x = 309,574,272/16,298.36
  6. Step 6: Final answer
    x = 18,994.20

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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.