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Finding the Fourth Proportional to 25,666.63, 35,417.63 and 14,334.55

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Solution

The fourth proportional to 25,666.63, 35,417.63 and 14,334.55 is: 19,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.63 : 35,417.63 = 14,334.55 : x
  2. Step 2: Convert to fraction form
    25,666.63/35,417.63 = 14,334.55/x
  3. Step 3: Cross multiply
    25,666.63x = 35,417.63 × 14,334.55
  4. Step 4: Simplify right side
    25,666.63x = 507,695,788.12
  5. Step 5: Solve for x
    x = 507,695,788.12/25,666.63
  6. Step 6: Final answer
    x = 19,780.38

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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.