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Finding the Fourth Proportional to 25,594, 35,319.78 and 14,416

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Solution

The fourth proportional to 25,594, 35,319.78 and 14,416 is: 19,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594 : 35,319.78 = 14,416 : x
  2. Step 2: Convert to fraction form
    25,594/35,319.78 = 14,416/x
  3. Step 3: Cross multiply
    25,594x = 35,319.78 × 14,416
  4. Step 4: Simplify right side
    25,594x = 509,169,948.48
  5. Step 5: Solve for x
    x = 509,169,948.48/25,594
  6. Step 6: Final answer
    x = 19,894.11

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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.