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Finding the Fourth Proportional to 26,507.34, 36,580.95 and 14,570.46

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Solution

The fourth proportional to 26,507.34, 36,580.95 and 14,570.46 is: 20,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.34 : 36,580.95 = 14,570.46 : x
  2. Step 2: Convert to fraction form
    26,507.34/36,580.95 = 14,570.46/x
  3. Step 3: Cross multiply
    26,507.34x = 36,580.95 × 14,570.46
  4. Step 4: Simplify right side
    26,507.34x = 533,001,268.74
  5. Step 5: Solve for x
    x = 533,001,268.74/26,507.34
  6. Step 6: Final answer
    x = 20,107.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.