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Finding the Fourth Proportional to 19,459.54, 29,164.71 and 10,574.50

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Solution

The fourth proportional to 19,459.54, 29,164.71 and 10,574.50 is: 15,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.54 : 29,164.71 = 10,574.50 : x
  2. Step 2: Convert to fraction form
    19,459.54/29,164.71 = 10,574.50/x
  3. Step 3: Cross multiply
    19,459.54x = 29,164.71 × 10,574.50
  4. Step 4: Simplify right side
    19,459.54x = 308,402,225.90
  5. Step 5: Solve for x
    x = 308,402,225.90/19,459.54
  6. Step 6: Final answer
    x = 15,848.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.