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Finding the Fourth Proportional to 16,752, 23,118.03 and 9,300

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Solution

The fourth proportional to 16,752, 23,118.03 and 9,300 is: 12,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,752 : 23,118.03 = 9,300 : x
  2. Step 2: Convert to fraction form
    16,752/23,118.03 = 9,300/x
  3. Step 3: Cross multiply
    16,752x = 23,118.03 × 9,300
  4. Step 4: Simplify right side
    16,752x = 214,997,679
  5. Step 5: Solve for x
    x = 214,997,679/16,752
  6. Step 6: Final answer
    x = 12,834.15

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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.