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Finding the Fourth Proportional to 22,349.34, 30,838.64 and 12,916.08

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Solution

The fourth proportional to 22,349.34, 30,838.64 and 12,916.08 is: 17,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.34 : 30,838.64 = 12,916.08 : x
  2. Step 2: Convert to fraction form
    22,349.34/30,838.64 = 12,916.08/x
  3. Step 3: Cross multiply
    22,349.34x = 30,838.64 × 12,916.08
  4. Step 4: Simplify right side
    22,349.34x = 398,314,341.33
  5. Step 5: Solve for x
    x = 398,314,341.33/22,349.34
  6. Step 6: Final answer
    x = 17,822.20

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1.5x scale

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.