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Finding the Fourth Proportional to 21,670.23, 32,509.37 and 6,875.15

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Solution

The fourth proportional to 21,670.23, 32,509.37 and 6,875.15 is: 10,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.23 : 32,509.37 = 6,875.15 : x
  2. Step 2: Convert to fraction form
    21,670.23/32,509.37 = 6,875.15/x
  3. Step 3: Cross multiply
    21,670.23x = 32,509.37 × 6,875.15
  4. Step 4: Simplify right side
    21,670.23x = 223,506,760.78
  5. Step 5: Solve for x
    x = 223,506,760.78/21,670.23
  6. Step 6: Final answer
    x = 10,314.00

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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.