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Finding the Fourth Proportional to 25,580.74, 38,376.60 and 14,492.74

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Solution

The fourth proportional to 25,580.74, 38,376.60 and 14,492.74 is: 21,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.74 : 38,376.60 = 14,492.74 : x
  2. Step 2: Convert to fraction form
    25,580.74/38,376.60 = 14,492.74/x
  3. Step 3: Cross multiply
    25,580.74x = 38,376.60 × 14,492.74
  4. Step 4: Simplify right side
    25,580.74x = 556,182,085.88
  5. Step 5: Solve for x
    x = 556,182,085.88/25,580.74
  6. Step 6: Final answer
    x = 21,742.22

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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.