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Finding the Fourth Proportional to 14,894.40, 22,357.80 and 8,333.40

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Solution

The fourth proportional to 14,894.40, 22,357.80 and 8,333.40 is: 12,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.40 : 22,357.80 = 8,333.40 : x
  2. Step 2: Convert to fraction form
    14,894.40/22,357.80 = 8,333.40/x
  3. Step 3: Cross multiply
    14,894.40x = 22,357.80 × 8,333.40
  4. Step 4: Simplify right side
    14,894.40x = 186,316,490.52
  5. Step 5: Solve for x
    x = 186,316,490.52/14,894.40
  6. Step 6: Final answer
    x = 12,509.16

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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.