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Finding the Fourth Proportional to 25,284, 37,929.60 and 13,434.68

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Solution

The fourth proportional to 25,284, 37,929.60 and 13,434.68 is: 20,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284 : 37,929.60 = 13,434.68 : x
  2. Step 2: Convert to fraction form
    25,284/37,929.60 = 13,434.68/x
  3. Step 3: Cross multiply
    25,284x = 37,929.60 × 13,434.68
  4. Step 4: Simplify right side
    25,284x = 509,572,038.53
  5. Step 5: Solve for x
    x = 509,572,038.53/25,284
  6. Step 6: Final answer
    x = 20,153.93

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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.