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Finding the Fourth Proportional to 14,333.60, 21,503.12 and 4,973.24

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Solution

The fourth proportional to 14,333.60, 21,503.12 and 4,973.24 is: 7,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.60 : 21,503.12 = 4,973.24 : x
  2. Step 2: Convert to fraction form
    14,333.60/21,503.12 = 4,973.24/x
  3. Step 3: Cross multiply
    14,333.60x = 21,503.12 × 4,973.24
  4. Step 4: Simplify right side
    14,333.60x = 106,940,176.51
  5. Step 5: Solve for x
    x = 106,940,176.51/14,333.60
  6. Step 6: Final answer
    x = 7,460.80

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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.