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Finding the Fourth Proportional to 16,444.16, 22,700.44 and 10,484

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Solution

The fourth proportional to 16,444.16, 22,700.44 and 10,484 is: 14,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444.16 : 22,700.44 = 10,484 : x
  2. Step 2: Convert to fraction form
    16,444.16/22,700.44 = 10,484/x
  3. Step 3: Cross multiply
    16,444.16x = 22,700.44 × 10,484
  4. Step 4: Simplify right side
    16,444.16x = 237,991,412.96
  5. Step 5: Solve for x
    x = 237,991,412.96/16,444.16
  6. Step 6: Final answer
    x = 14,472.70

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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.