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Finding the Fourth Proportional to 15,407.70, 23,111.55 and 9,502.80

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Solution

The fourth proportional to 15,407.70, 23,111.55 and 9,502.80 is: 14,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.70 : 23,111.55 = 9,502.80 : x
  2. Step 2: Convert to fraction form
    15,407.70/23,111.55 = 9,502.80/x
  3. Step 3: Cross multiply
    15,407.70x = 23,111.55 × 9,502.80
  4. Step 4: Simplify right side
    15,407.70x = 219,624,437.34
  5. Step 5: Solve for x
    x = 219,624,437.34/15,407.70
  6. Step 6: Final answer
    x = 14,254.20

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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.