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Finding the Fourth Proportional to 17,506, 24,159.24 and 10,054.48

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Solution

The fourth proportional to 17,506, 24,159.24 and 10,054.48 is: 13,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506 : 24,159.24 = 10,054.48 : x
  2. Step 2: Convert to fraction form
    17,506/24,159.24 = 10,054.48/x
  3. Step 3: Cross multiply
    17,506x = 24,159.24 × 10,054.48
  4. Step 4: Simplify right side
    17,506x = 242,908,595.40
  5. Step 5: Solve for x
    x = 242,908,595.40/17,506
  6. Step 6: Final answer
    x = 13,875.73

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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.