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Finding the Fourth Proportional to 16,386.68, 24,580.22 and 4,700

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Solution

The fourth proportional to 16,386.68, 24,580.22 and 4,700 is: 7,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.68 : 24,580.22 = 4,700 : x
  2. Step 2: Convert to fraction form
    16,386.68/24,580.22 = 4,700/x
  3. Step 3: Cross multiply
    16,386.68x = 24,580.22 × 4,700
  4. Step 4: Simplify right side
    16,386.68x = 115,527,034
  5. Step 5: Solve for x
    x = 115,527,034/16,386.68
  6. Step 6: Final answer
    x = 7,050.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.