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Finding the Fourth Proportional to 15,407.30, 22,999.50 and 13,538.96

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Solution

The fourth proportional to 15,407.30, 22,999.50 and 13,538.96 is: 20,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.30 : 22,999.50 = 13,538.96 : x
  2. Step 2: Convert to fraction form
    15,407.30/22,999.50 = 13,538.96/x
  3. Step 3: Cross multiply
    15,407.30x = 22,999.50 × 13,538.96
  4. Step 4: Simplify right side
    15,407.30x = 311,389,281.77
  5. Step 5: Solve for x
    x = 311,389,281.77/15,407.30
  6. Step 6: Final answer
    x = 20,210.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.