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Finding the Fourth Proportional to 14,969.04, 22,428 and 8,391.12

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Solution

The fourth proportional to 14,969.04, 22,428 and 8,391.12 is: 12,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.04 : 22,428 = 8,391.12 : x
  2. Step 2: Convert to fraction form
    14,969.04/22,428 = 8,391.12/x
  3. Step 3: Cross multiply
    14,969.04x = 22,428 × 8,391.12
  4. Step 4: Simplify right side
    14,969.04x = 188,196,039.36
  5. Step 5: Solve for x
    x = 188,196,039.36/14,969.04
  6. Step 6: Final answer
    x = 12,572.35

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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.