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Finding the Fourth Proportional to 25,580.42, 38,346.02 and 13,106.34

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Solution

The fourth proportional to 25,580.42, 38,346.02 and 13,106.34 is: 19,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.42 : 38,346.02 = 13,106.34 : x
  2. Step 2: Convert to fraction form
    25,580.42/38,346.02 = 13,106.34/x
  3. Step 3: Cross multiply
    25,580.42x = 38,346.02 × 13,106.34
  4. Step 4: Simplify right side
    25,580.42x = 502,575,975.77
  5. Step 5: Solve for x
    x = 502,575,975.77/25,580.42
  6. Step 6: Final answer
    x = 19,646.90

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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.