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Finding the Fourth Proportional to 28,598.36, 39,465.66 and 16,023

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Solution

The fourth proportional to 28,598.36, 39,465.66 and 16,023 is: 22,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,598.36 : 39,465.66 = 16,023 : x
  2. Step 2: Convert to fraction form
    28,598.36/39,465.66 = 16,023/x
  3. Step 3: Cross multiply
    28,598.36x = 39,465.66 × 16,023
  4. Step 4: Simplify right side
    28,598.36x = 632,358,270.18
  5. Step 5: Solve for x
    x = 632,358,270.18/28,598.36
  6. Step 6: Final answer
    x = 22,111.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.