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Finding the Fourth Proportional to 16,547, 22,835.22 and 9,095

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Solution

The fourth proportional to 16,547, 22,835.22 and 9,095 is: 12,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547 : 22,835.22 = 9,095 : x
  2. Step 2: Convert to fraction form
    16,547/22,835.22 = 9,095/x
  3. Step 3: Cross multiply
    16,547x = 22,835.22 × 9,095
  4. Step 4: Simplify right side
    16,547x = 207,686,325.90
  5. Step 5: Solve for x
    x = 207,686,325.90/16,547
  6. Step 6: Final answer
    x = 12,551.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.