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Finding the Fourth Proportional to 19,248, 26,562.32 and 10,416

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Solution

The fourth proportional to 19,248, 26,562.32 and 10,416 is: 14,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 26,562.32 = 10,416 : x
  2. Step 2: Convert to fraction form
    19,248/26,562.32 = 10,416/x
  3. Step 3: Cross multiply
    19,248x = 26,562.32 × 10,416
  4. Step 4: Simplify right side
    19,248x = 276,673,125.12
  5. Step 5: Solve for x
    x = 276,673,125.12/19,248
  6. Step 6: Final answer
    x = 14,374.12

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Why These Related Problems?

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