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Finding the Fourth Proportional to 14,564.88, 21,840.24 and 5,204.70

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Solution

The fourth proportional to 14,564.88, 21,840.24 and 5,204.70 is: 7,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.88 : 21,840.24 = 5,204.70 : x
  2. Step 2: Convert to fraction form
    14,564.88/21,840.24 = 5,204.70/x
  3. Step 3: Cross multiply
    14,564.88x = 21,840.24 × 5,204.70
  4. Step 4: Simplify right side
    14,564.88x = 113,671,897.13
  5. Step 5: Solve for x
    x = 113,671,897.13/14,564.88
  6. Step 6: Final answer
    x = 7,804.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.