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Finding the Fourth Proportional to 24,980.40, 37,477.08 and 13,284

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Solution

The fourth proportional to 24,980.40, 37,477.08 and 13,284 is: 19,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980.40 : 37,477.08 = 13,284 : x
  2. Step 2: Convert to fraction form
    24,980.40/37,477.08 = 13,284/x
  3. Step 3: Cross multiply
    24,980.40x = 37,477.08 × 13,284
  4. Step 4: Simplify right side
    24,980.40x = 497,845,530.72
  5. Step 5: Solve for x
    x = 497,845,530.72/24,980.40
  6. Step 6: Final answer
    x = 19,929.45

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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.