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Finding the Fourth Proportional to 14,032.52, 21,032.86 and 4,670.34

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Solution

The fourth proportional to 14,032.52, 21,032.86 and 4,670.34 is: 7,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.52 : 21,032.86 = 4,670.34 : x
  2. Step 2: Convert to fraction form
    14,032.52/21,032.86 = 4,670.34/x
  3. Step 3: Cross multiply
    14,032.52x = 21,032.86 × 4,670.34
  4. Step 4: Simplify right side
    14,032.52x = 98,230,607.37
  5. Step 5: Solve for x
    x = 98,230,607.37/14,032.52
  6. Step 6: Final answer
    x = 7,000.21

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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.