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Finding the Fourth Proportional to 19,678.32, 29,492.52 and 19,470

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Solution

The fourth proportional to 19,678.32, 29,492.52 and 19,470 is: 29,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.32 : 29,492.52 = 19,470 : x
  2. Step 2: Convert to fraction form
    19,678.32/29,492.52 = 19,470/x
  3. Step 3: Cross multiply
    19,678.32x = 29,492.52 × 19,470
  4. Step 4: Simplify right side
    19,678.32x = 574,219,364.40
  5. Step 5: Solve for x
    x = 574,219,364.40/19,678.32
  6. Step 6: Final answer
    x = 29,180.30

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