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Finding the Fourth Proportional to 14,830.64, 22,237.80 and 6,071.72

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Solution

The fourth proportional to 14,830.64, 22,237.80 and 6,071.72 is: 9,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.64 : 22,237.80 = 6,071.72 : x
  2. Step 2: Convert to fraction form
    14,830.64/22,237.80 = 6,071.72/x
  3. Step 3: Cross multiply
    14,830.64x = 22,237.80 × 6,071.72
  4. Step 4: Simplify right side
    14,830.64x = 135,021,695.02
  5. Step 5: Solve for x
    x = 135,021,695.02/14,830.64
  6. Step 6: Final answer
    x = 9,104.24

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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.